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23 votes
23 votes
Solve the inequality for x
0.5x − 4 − 2x ≤ 2

User Lukaszkups
by
2.6k points

1 Answer

6 votes
6 votes

Answer:

x ≥ -4

Interval notation: [-4, ∞)

Explanation:

We solve for x like we would with a regular equation:


0.5x-4-2x\leq 2\\-1.5x-4\leq 2\\-1.5x\leq 6\\x\geq -4

Simply keep in mind that we had to flip the inequality sign since we divided by -1.5 to isolate x.

User Luisdaniel
by
2.7k points