five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution
2 answers:
Answer:
(-∞, -21]
Step-by-step explanation:
The inequality is
5(x+27) ≥ 6(x+26)
Using the distributive property on each side,
5(x)+5(27) ≥ 6(x)+6(26)
5x+135 ≥ 6x+156
Subtract 5x from each side:
5x+135-5x ≥ 6x+156-5x
135 ≥ x+156
Subtract 156 from each side:
135-156 ≥ x+156-156
-21 ≥ x
x ≤ -21
The interval for this solution set is everything less than or equal to -21; this is everything from negative infinity up to and including -21, or
(-∞, 21].
5(x + 27) >= 6(x + 26)
5x + 135 >= 6x + 156
-x >= 21
x <= -21
Answer: Choice B.
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