Respuesta :

ProfessorAlvarez

[tex]\text{Solve for x:}\\\\2(4+2x)\geq5x+5\\\\\text{Use the distributive property}\\\\8+4x\geq5x+5\\\\\text{Subtract 5x from both sides}\\\\8-x\geq5\\\\\text{Subtract 8 from both sides}\\\\-x\geq-3\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\x\leq3\\\\\boxed{\text{Answer: C.} \,x\leq3}[/tex]

jerrelltng

Answer:

C. [tex]x\leq 3[/tex]

Step-by-step explanation:

[tex]2(4+2x)\geq 5x+5[/tex]

First expand the left hand side.

[tex]8+4x\geq 5x+5[/tex]

Minus [tex]4x[/tex] and minus [tex]5[/tex] on both sides.

[tex]8+4x-5-4x\geq 5x+5-5-4x[/tex]

Simplifying it, you'll get

[tex]8-5\geq 5x-4x[/tex]

Simplify it once again,

[tex]3\geq x[/tex] which is also [tex]x\leq 3[/tex]

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