Question

Solve for x,
3(x – 4) ≥ 5x + 2

Answer 1

`\Large\textsc{answer :}`

x≤-7

`\Large\textsc{calculations :}`

First , use the distributive property :

3(x-4)≥5x+2

3x-12≥5x+2

Subtract 5x on both sides :

3x-5x-12≥2

Now , add 12 on both sides :

3x-5x≥2+12

3x-5x≥14

Subtract the x's :

-2x≥14

Divide by -2 on both sides and watch what happens :

x≤-7 (notice that the inequality sign changed from "greater than or equal to" to "less than or equal to")

If we divide both sides of an inequality by a negative number , we change the inequality sign .

`\footnotesize\textit{hope helpful~}`