Question

Math please show all work

Answer 1

x≥-4

Explanation:

Lets write out the equation so its easier to work with.

-(x-4)≤8

Now lets distribute the negative 1 on the side with the x

-x+4≤8

Subtract 4

-x+4-4≤8-4

Do the subtraction

-x≤4

divide by negative 1, this flips the inequality

-x/-1≥4/-1

since the side with the x is double negative the fraction becomes positive

x/1≥4/-1

Any number of 1 is that number and numbers over -1 is that number but negative

x≥-4

Answer 2

`-(x-4) \leq 8`

Multiply both sides by -1. When multiplying/dividing an inequality by a negative number, remember to reverse the inequality symbol.

`x-4 \geq -8`

Add both sides by 4 to cancel the -4 on the left side.

`x\geq -4`

That's your solution.

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