Question

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?

Answer 1

`x\leq -21`

Explanation:

Answer 2

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`