Answer:
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The solution set of the inequality −5 < 2x + 3 < 9 is (-4,3)
<h3>How to solve the inequality?</h3>
The compound inequality is given as:
−5 < 2x + 3 < 9
Expand the inequality
−5 < 2x + 3 or 2x + 3 < 9
Rewrite as:
2x + 3 > -5 or 2x + 3 < 9
Subtract 3 from both sides
2x > -8 or 2x < 6
Divide both sides by 2
x > -4 or x < 3
Rewrite as:
(-4,3)
Hence, the solution set of the inequality is (-4,3)
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Answer:
The correct answer is:
x ≤ 14 (b)
Step-by-step explanation:
first of all, let us find the other side of the rectangle using the limit of 46 as the highest perimeter:
Perimeter of a rectangle = 2(Length) + 2(width)
Let the length = x inches
let the width = 9 inches
Perimeter = 2x + 2(9)
46 = 2x + 18
2x = 46 - 18
2x = 28
x = 28 ÷ 2
x = 14
Therefore, for the perimeter to be equal to 46 inches, the other side of the rectangle must be equal to 14 inches. Hence, for the perimeter to be at most 46 inches ( 46 inches or less):
x is less than or equal to 14 (x ≤ 14)
Answer:the attached file shows the solution
Answer:
-w − z = <4, -7>
z − w = <6, 1>
w − z = <-6, -1>
Step-by-step explanation:
