Question

5(x-2)-3x<2 step by step

Answer 1

Answer:
`\begin{bmatrix}\mathrm{Solution:}\:&\:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}`

Explanation:

`5\left(x-2\right)-3x<2`

`2x-10<2`

`\mathrm{Add\:}10\mathrm{\:to\:both\:sides}`

`2x-10+10<2+10`

Simplify

`2x<12`

`\mathrm{Divide\:both\:sides\:by\:}2`

`(2x)/(2)<(12)/(2)`

`\mathrm{Simplify}`

`x<6`