Question

What is the solution set to the inequality –3x + 5.9 ≥ –15.4 for x in the set {–10, –5, 0, 5, 10}?

Answer 1

{-10, -5, 0, 5}

Explanation:

We have to find the solution set of the given inequality

-3x + 5.9 ≥ -15.4 for x in the given set {-10, -5, 0 , 5 , 10}

-3x + 5.9 ≥ - 15.4

-3x + 5.9 - 5.9 ≥ - 15.4 - 5.9

-3x ≥ -21.3

3x ≤ 21.3

`(3x)/(3)` ≤
`(21.3)/(3)`

= x ≤ 7.1

So solution set of x will be {-10, -5, 0, 5}

Answer 2

–3x + 5.9 ≥ –15.4

subtract 5.9 from each side

-3x >= -21.3

divide by -3 which causes the inequality to flip

x <= 7.1

Answer: -10,-5,0,5