Respuesta :

macenoisabella

Answer:

x≤3

Step-by-step explanation:

2(4+2x)≥5x+5

Step 1: Simplify both sides of the inequality.

4x+8≥5x+5

Step 2: Subtract 5x from both sides.

4x+8−5x≥5x+5−5x

−x+8≥5

Step 3: Subtract 8 from both sides.

−x+8−8≥5−8

−x≥−3

Step 4: Divide both sides by -1.

−x−1≥−3−1

x≤3

xKelvin

Answer:

[tex]x\leq 3[/tex]

Step-by-step explanation:

So we have the inequality:

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

First, let's distribute the left side:

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

Multiply:

[tex]8+4x\geq5x+5[/tex]

Now, let's isolate the x-variable. Subtract 8 from both sides:

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

The left side cancels. Subtract on the right:

[tex]4x\geq 5x-3[/tex]

Now, let's subtract 5x from both sides:

[tex](4x)-5x\geq (5x-3)-5x[/tex]

The right side cancels. Subtract on the left:

[tex]-x\geq -3[/tex]

Now, let's multiply both sides by -1.

Since we're multiplying by a negative, we flip the sign. So:

[tex]-1(-x)\leq (-1)(-3)[/tex]

Multiply:

[tex]x\leq 3[/tex]

So, our solution is all numbers less than or equal to 3.

And we're done!

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