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

Sagot :

Given the inequality below

[tex]23+8x\ge2x-7[/tex]

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

[tex]8x-2x\ge-7-23[/tex]

Evaluate the equation above

[tex]6x\ge-30[/tex]

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

[tex]\frac{6x}{6}\ge\frac{-30}{6}[/tex][tex]x\ge-5[/tex]

In interval notation, the solution set is wriiten as

[tex]\lbrack-5,\infty)[/tex]

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

[ -5, ∞)

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