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Solve the inequality

x/5 − 4 > −3 for x . Show your work.

User Manto
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1 Answer

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To solve the inequality, we need to isolate x on one side of the inequality sign. Here's how we can do it:

x/5 - 4 > -3 (original inequality)

Add 4 to both sides to get rid of the -4 on the left side:

x/5 - 4 + 4 > -3 + 4

Simplify:

x/5 > 1

Multiply both sides by 5 to get rid of the 1/5 on the left side:

x/5 * 5 > 1 * 5

Simplify:

x > 5

Therefore, the solution to the inequality is x > 5. We can write this using interval notation as (5, infinity) or using set-builder notation as x > 5.
User Vic Fanberg
by
7.6k points

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