Question

Which value is a solution to the inequality 5x – 1 ≤ –11? a) x = –1 b) x = 5 c) x = –2 d) x = 0

Answer 1

x ≤ -2

add 1 to both sides

5x – 1 ≤ –11

5x - 1+1 ≤ 11+1

simplify expression

5x ≤ -10

5x/5 ≤ -10/5

solution

x ≤ -2

Answer 2

To solve the inequality, isolate the variable, x.

Given inequality :

↠
`\sf{5x-1\leqslant-11}`

First I'll add 1 to both sides.

↠
`\sf{5x\leqslant-11+1}`

↠
`\sf{5x\leqslant-10}`

Next, divide both sides by 5.

↠
`\sf{x\leqslant-2}`

Therefore, the solution to this inequality is x ≤ - 2.