Question

Solve the following inequality. Write the solution set using interval notation.23 + 8x ≥2x-7

Answer 1

Given the inequality below

`23+8x\ge2x-7`

To find the solution set of the inequality above, there would be need to sovle for x and interprete the resulting inequality.

Firstly, collect like terms

`8x-2x\ge-7-23`

Evaluate the equation above

`6x\ge-30`

Divide both sides by the coefficient of x, which is 6

`(6x)/(6)\ge(-30)/(6)`
`x\ge-5`

In interval notation, the solution set is wriiten as

`\lbrack-5,\infty)`

Hence, the solution set of the inequality 23 + 8x ≥ 2x - 7 is

[ -5, ∞)