167k views
4 votes
Solve the following inequality
9x−2>43

User Kein
by
7.8k points

2 Answers

3 votes

Steps to solve:

9x - 2 > 43

~Add 2 to both sides

9x - 2 + 2 > 43 + 2

~Simplify

9x > 45

~Divide 9 to both sides

9x/9 > 45/9

~Simplify

x > 5

Best of Luck!

User Nikolai Mavrenkov
by
7.9k points
1 vote

Answer: x > 5

Explanation: First we want to look at our variable and ask ourselves what's happening to it. Since 2 is being subtracted from 9x, we always undo addition and subtraction first so we add 2 to both sides.

That gives us 9x > 45.

Now we need to undo multiplication and division. Since 9 is being multiplied by x, to get x by itself, we need to divide by 9 on the left side of the inequality. If we divide by 9 on the left side, we must also divide by 9 on the right side.

This leaves us with x > 5 which is the solution to this inequality.

User Smitec
by
8.3k points

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