Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x. Which graph represents her solution? A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5. A number line with an open circle at 3 with a bold line pointing to the right stopping at the point 5. A number line with a point at 3 with a bold line pointing to the left and an open circle at 5 with a bold line pointing to the right. A number line with an open circle at 3 with a bold line pointing to the left and a point at 5 with a bold line pointing to the right.

Answers

Answer 1

Answer:

Answer:

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5.

Step-by-step explanation:

Phyllis solved the compound inequality $16\le2(3x-1) < 28.$ She began by first breaking the inequality into two separate inequalities $16\le 2(3x-1)$ and $2(3x-1)<28$ , then she correctly solved each for x:

1) $16\le 2(3x-1):$

Rewrite this inequality:

$2(3x-1)\ge 16$

Divide by 2:

$3x-1\ge 8$

Add 1:

$3x-1+1\ge 8+1\n \n3x\ge 9$

Divide by 3:

$x\ge 3$

2) $2(3x-1)<28:$

Divide by 2:

$3x-1<14$

Add 1:

$3x-1+1<14+1\n \n3x<15$

Divide by 3:

$x<5$

The solution to the compound inequality are all values of x which are greater than 3 or equal to 3 and less than 5. So, you have to plot point at 3, draw a bold line to 5 and plot open circle at 5. Hence, option

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5

is true.

Answer 2

Answer:

The answer to your question would be A.

Hope you have a nice day!

Related Questions

Witch expression is equivalent to 5x-30
Jane has 4 blue marbles, 3 red marbles, and 2 yellow marbles in a bag. Jane will randomly pick one marble from the bag. What is the probability the marble will be yellow?
72 - (blank) + 20 = 70 what number is the blank
Draw 2 lines in a triangle. Make 2 triangles and 2 trapezoids.
7:30, 7:55, 8:20,...

Find the distance between points (3, 5) and (4, 6) to the nearest tenth.A) 3.2
B) 2
C) 2.8
D) 1.4

Answers

The distance between the two points is 1.4.

Option D is the correct answer.

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance = √(c - a)² + (d - b)²

We have,

To find the distance between the two points (3, 5) and (4, 6)

We can use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given values, we get:

d = √((4 - 3)² + (6 - 5)²)

d = √(1² + 1²)

d = √2

To the nearest tenth, the distance is approximately 1.4.

Therefore,

The distance between the two points is 1.4.

Learn more about the distance of a line here:

brainly.com/question/14645718

#SPJ3

The formula of a distance between two points:

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

We have the points (3, 5) and (4, 6). Substitute:

$d=√((4-3)^2+(6-5)^2)=√(1^2+1^2)=√(1+1)=\sqrt2\approx1.4$

Answer: D) 1.4

Write words to match the expression 3+ (4 times 12)

Answers

Three added to the product of four and twelve

Which geometric series converges?

Answers

The last series, 6+2+6/9+6/27+..., converges.

A series converges is r<1; in the first series r=1; in the second, r=2; in the third, r=2; and in the last, r=1/3.

Answer:

The answer is C! :)

Explain how the areas of a triangle and a parallelogram with the same height and base are related.

Answers

The triangle's area would be half of the parallelograms's area, since the formulas state that half of bh should be taken for the triangle's area.

Explain the method of place value principle of converting a fraction to decimal with 5 examples for class 7

Answers

Example #1 : 0.7
7 is in the tenths place. This number is read as "seven tenths".
0.7 is converted from 7/10.

Example #2 : 0.13
1 is in the tenths place.
3 is in the hundredths place.
This number is read as "thirteen hundredths"
0.13 is converted from 13/100.

Example #3: 0.157

1 is in the tenths place.
5 is in the hundredths place.
7 is in the thousandths place.
This number is read as "one hundred fifty seven thousandths"
0.157 is converted from 157/1000.

Example # 4: 1.5

1 is in the ones place
5 is in the tenths place.
This number is read as "one and five tenths"
1.5 is converted from 15/10 or 1 5/10.

Example # 5: 25.67
2 is in tens place.
5 is in ones place.
6 is in tenths place
7 is in hundredths place.
This number is read as "twenty-five and sixty seven hundredths"
25.67 is converted from 25 67/100 or 2567/100

What is the approximate volume of a sphere with a radius of 9 in.? Use 3.14 to approximate pi and express your answer in hundredths.

Answers

3052.08 inches cubed

Volume of a sphere: $V= (4)/(3) \pi r^(3)$
So, $V= (4)/(3) (3.14) 9^(3)$
$V= (4)/(3) (3.14) 9^(3) =3052.08$

Other Questions

What is the mean of the set of numbers? –12, –4, 3, 7, 11

The principal wanted to buy 8 pencils for every student at her school.If there are 859 students, how many pencils do the principal need to buy?

Bargain Bin sells jumbo size packages of hamburger patties and hamburger buns. The patties come in packages of 18 and the hamburger buns come in packages of 24. What is least amount of hamburgers you will have if you buy enough packages to make sure you do not have any leftovers?

Two minor league baseball players got a total of 390 hits. Washington had 16 more hits than Sanchez. Find the number of hits for each player.Washington hadhits. Sanchez hadhits.