242,370 views
35 votes
35 votes
Solve for x.
2(x - 6) - 3x ≥ - 3
Simplify your answer

User AutomatedChaos
by
3.1k points

2 Answers

13 votes
13 votes
To solve for x, we need to get x by itself on one side of the inequality.

First, we'll start by combining like terms on the left side of the inequality:

2(x - 6) - 3x ≥ -3
2x - 12 - 3x ≥ -3

Combining the two x terms gives us:

-x - 12 ≥ -3

Next, we'll add 12 to both sides to isolate the x term:

-x - 12 + 12 ≥ -3 + 12
-x ≥ 9

Finally, we'll divide both sides by -1 to solve for x:

(-x)/(-1) ≥ 9/(-1)
x ≤ -9

So the solution to the inequality is x ≤ -9.
User Bdalziel
by
3.0k points
28 votes
28 votes
Here I don’t know if right:

2x - 12 - 3x >= -3

2x - 3x >= -3 + 12

- x >= 9

x/-1 >= 9/-1

X >= 9
User Clemens Helm
by
2.9k points