Answer :r
rational number
Step-by-step explanation:
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
The ordered pairs which make both the inequalities true are (1, 2).
Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given two linear inequalities,
y < 5x + 2 and y > 1/2 x + 1
Consider y < 5x + 2.
(-1, 3) ⇒ 3 < -5 + 2 ⇒ 3 < -3, which is not true.
(0, 2) ⇒ 2 < 0 + 2 ⇒ 2 < 2, which is not true
(1, 2) ⇒ 2 < 5 + 2 ⇒ 2 < 7, which is true
(2, -1) ⇒ -1 < 10 + 2 ⇒ -1 < 12, which is true
(2, 2) ⇒ 2 < 10 + 2 ⇒ 2 < 12, which is true
Consider y > 1/2 x + 1.
Substitute the points which are true for first inequality in this one.
(1, 2) ⇒ 2 > 1/2 + 1 ⇒ 2 > 3/2, which is true
(2, -1) ⇒ -1 > 1 + 1 ⇒ -1 > 2, which is not true
(2, 2) ⇒ 2 > 1 + 1 ⇒ 2 > 2, which is not true.
Hence the point is (1, 2) which is true for both inequalities.
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Answer:
(0,2) and (1,2)
Step-by-step explanation:
The expression for the distance Mrs. Williams will drive in x hours is Distance = 58x (in miles).
To write an expression for the distance Mrs. Williams will drive in x hours, we can use the formula: Distance = Speed x Time.
In this case, the speed is 58 mi/h and the time is x hours. So, the expression for the distance she will drive is Distance = 58x (in miles).
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Answer:
First place would pay $60
2. - y/2 < 4 __________________
3. -1 1b > 55 __________________
4. -c/2 < -1.5 _____________________
5. -x/5 > 1/20 ___________________________
6. 0.9 < -r ______________________________
7. -2b > 3 __________________________
8. -a/0.5 > -70 ________________________