what is the solution of the inequality 3/8x > 9?
A) x > 216
B) x > 72
C) x > 24
D) x > 14***
Nope. You need to multiply 9 by 8/3
To solve the inequality 3/8x > 9, you need to isolate x by performing the following steps:
1. Multiply both sides of the inequality by 8 to eliminate the fraction: (3/8x) * 8 > 9 * 8
This simplifies to: 3x > 72
2. Divide both sides of the inequality by 3 to solve for x: (3x) / 3 > 72 / 3
This simplifies to: x > 24
Therefore, the correct solution is x > 24. Thus, the answer would be C) x > 24, not D) x > 14.
To find the solution to the inequality 3/8x > 9, we need to isolate x. Here's how to do it:
1. Begin by multiplying both sides of the inequality by 8 to eliminate the fraction: 8 * (3/8x) > 8 * 9
This simplifies to: 3x > 72
2. Now, divide both sides of the inequality by 3 to solve for x: (3x) / 3 > 72 / 3
This simplifies to: x > 24
So, the correct answer is C) x > 24.