Five times the sum of a number and 27 is greater than or equal to six times the sum of that num solution set of this problem?

Question

asked Jan 9, 2021 93.0k views

2 Answers

Dustin Venegas · Answer 1 · 2021-01-14T17:59:51+0000

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:

$x \leq -21$

Explanation:

Given

Represent the number with x

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is
$x \leq -21$