2(3x−6)>=5(0)−10

Question

Select all the values of x that will make the following inequality true.
x = -5
x = 1
x = 0
x = 2
x = 13
x = 7
I keep getting this wrong what are the true ones

Answer 1

you ask us to show our work in solving the problem. Why not show your work and how it went wrong?

I suspect a typo, since

5(0) - 10 = -5

That makes your equation

2(3x-6) = -5

So, does -5 work?
2(3(-5)-6) = 2(-15-6) = 2(-21) = -42
Nope.

Now you try the others to see whether any of them end up as -5. Or, if there is a typo, fix it and then try the values. Show your work, and we can help you understand what went wrong.

Answer 2

2(3x−6)>=5x-10 made a mistake

Answer 3

solve as you would an equation. The only thing to watch for is to change the direction of the inequality when multiplying by a negative quantity.

2(3x−6)>=5x-10
6x - 12 >= 5x-10
6x-5x >= -10+12
x >= 2

So, pick out all the values at least 2. To be sure, substitute them into the original, and make sure they work.

For example, if you use 5,

2(3*5−6)>=5*5-10
2(15-6) >= 25-10
2(9) >= 15
18 >= 15
so that works.