Question

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 set of this problem?

Answer 1

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].

Answer 2

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

Answer: Choice B.