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Solve the inequality.
2(4+2x)≥5x+5

x≤−2
x≥−2
x≤3
x≥3


Sagot :

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]

Answer:

[tex]x\leq 3[/tex]

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