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iren [92.7K]
3 years ago
8

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

Mathematics
2 answers:
Veronika [31]3 years ago
8 0

–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

Shalnov [3]3 years ago
7 0

Answer:

{-10, -5, 0, 5}

Step-by-step 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

\frac{3x}{3} ≤ \frac{21.3}{3}

= x ≤ 7.1

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

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