Answer: [tex]x\leq 3[/tex]
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Step-by-step explanation:
1) Simplify both sides of the inequality:
[tex]4x+8\geq 5x+5[/tex]
2) Subtract [tex]5x[/tex] from both sides:
[tex]4x+8-5x\geq 5x+5-5x[/tex]
3) Simplify:
[tex]-x+8\geq 5[/tex]
4) Subtract [tex]8[/tex] from both sides:
[tex]-x+8-8\geq 5-8[/tex]
5) Simplify:
[tex]-x\geq -3[/tex]
6) Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} =\frac{-3}{-1}[/tex]
7) Simplify:
[tex]x\leq -3[/tex]
