I am to solve this inequality:
2/3x < -12
I multiplied both sides by 3/2 to get x < -12(3/2)
x < -18
But the answer shows x < -9
What have I done wrong?
-12 is two-thirds of -18
maybe a misprint somewhere ...
You did nothing wrong, I agree with scott,
the answer "they" gave is incorrect
2/3x < -12
multiply by 3
2x < -36
divide by 2
x < -18
Thank you
To solve the inequality 2/3x < -12, you need to follow a specific set of steps. Let's go through the process:
Step 1: Multiply both sides of the inequality by the reciprocal of 2/3, which is 3/2. This step is necessary to isolate 'x' on one side of the inequality.
(2/3x) * (3/2) < (-12) * (3/2)
Step 2: Simplify both sides of the inequality:
(2 * 3) / (3 * 2) * x < (-12 * 3) / (2 * 2)
1x < -36 / 4
Step 3: Simplify further:
x < -9
Based on the given inequality, the correct solution is x < -9, not x < -18.
It seems you made an error in multiplying the -12 by 3/2 on the right side of the inequality. Multiplying -12 by 3/2 gives you -18, but it should be divided by 3/2 on the right side, not multiplied. So, the final answer should be x < -9.