Question

Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.

Answer 1

Answer:
`\begin{bmatrix}\mathrm{Solution:}\:&\:x\le (17)/(3)\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:(17)/(3)]\end{bmatrix}`

Explanation:

`2x-5\le \:-x+12`

`2x\le \:-x+17\\`

`2x+x\le \:-x+17+x`

`3x\le \:17`

`(3x)/(3)\le (17)/(3)`

`x\le (17)/(3)`