2(3x−6)>=5(0)−10
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
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.
2(3x−6)>=5x-10 made a mistake
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.
To find the values of x that make the inequality true, let's solve the inequality step by step:
2(3x − 6) ≥ 5(0) − 10
First, simplify both sides:
6x − 12 ≥ 0 − 10
6x − 12 ≥ -10
Next, simplify further by adding 12 to both sides:
6x ≥ -10 + 12
6x ≥ 2
Now, divide both sides by 6 to isolate x:
x ≥ 2/6
x ≥ 1/3
So, any value of x that is greater than or equal to 1/3 will satisfy the inequality. Therefore, the true values of x are:
x = 1/3, 1, 2, 13, and 7.
Hence, the correct selections are x = 1, x = 2, x = 13, and x = 7.