Which compound inequality could this graph be the solution of?
Answers
Answer:
B. 2x + 3 ≥ 11 or 4x - 7 ≤ 1
Step-by-step explanation:
Given compound inequality,
In option A,
2x + 3 ≥ 11 and 4x - 7 ≤ 1
⇒ 2x ≥ 8 and 4x ≤ 8
⇒ x ≥ 4 and x ≤ 2
2x + 3 ≥ 11 and 4x - 7 ≤ 1 can not be the correct inequality,
In option B,
2x + 3 ≥ 11 or 4x - 7 ≤ 1
⇒ 2x ≥ 8 or 4x ≤ 8
⇒ x ≥ 4 or x ≤ 2
Which is shown in the given graph,
Thus, 2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct compound inequality,
In option C,
2x + 3 > 11 or 4x - 7 < 1
⇒ 2x > 8 or 4x < 8
⇒ x > 4 or x < 2
So, which is not shown in the graph,
2x + 3 > 11 or 4x - 7 < 1 can not be the correct compound inequality,
In option D,
2x + 3 ≥ 11 or 4x - 7 ≥ 1
⇒ 2x ≥ 8 or 4x ≥ 8
⇒ x ≥ 4 or x ≥ 2
Which is not shown in the graph,
2x + 3 ≥ 11 or 4x - 7 ≥ 1 is not the correct compound inequality.
B.. 4 is less than or equal to x, 2 is greater or equal to x
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Answers
YES
Answers
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Answers
Answers
Answer:
126/3=42
y/x=42
Step-by-step explanation:
Answers
The cost of the bench for the condition is 4350.
What are Mathematical operators?
A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:
Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.
Given the total cost of the bench and table = $655
The garden table cost $45 less than the bench,
let the cost of the bench be x
cost of table is x - 45
according to the conditions,
x + x - 45 = 655
2x = 655 + 45
x = 722/2
x = $350
Hence the cost of the bench is $350.
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Answer:
$444
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table is x + 94
so,
x + (x + 94) = 794
2x + 94 = 794
2x = 700
x = 350
The bench costs $350 and the garden table costs 350 + 94 = $444
Answers
The 3 decimals between 16.4 and 16.5 will be 16.45, 16.48, and 16.49 respectively.
What is the decimal system?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the name for the method of representing numbers in the decimal system.
The two numbers are 16.4 and 16.5 there are many decimal numbers between the given two numbers but the three decimal numbers are 16.45, 16.48, and 16.49.
Decimals are used to determine if a number is rational or irrational. They are used to change fractions, percentages, and ratios from one form to another. Decimals are also used to measure things like length, weight, area, and volume. Calculations requiring precision frequently employ decimals.
Thus, the 3 decimals between 16.4 and 16.5 will be 16.45, 16.48, and 16.49 respectively.
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