Question

4(x-6)<-2x+6 what is the solution to the inequality
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Answer 1

Simplify both sides if needed. The left-hand side needs simplification.

4(x - 6)
`\leq` -2x + 6
4x - 24
`\leq` -2x + 6

All is left to do is add and subtract to get the x variable all alone.

4x - 24
`\leq` -2x + 6
6x - 24
`\leq` 6 <-- Add 2x to both sides
6x
`\leq` 30 <-- Add 24 to both sides
x
`\leq` 5 <-- Divide both sides by 6

In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)