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, ∞)
