Q. 3>9−21xWhat values of x satisfy the inequality?Choose 1 answer:(A) x<12(B) x>12(C) x<24(D) x>24
Write Inequality: Write down the inequality.3 > 9 - \frac{1}{2}xWe need to isolate x to solve for it.
Subtract 9: Subtract 9 from both sides to start isolating x.3 - 9 > 9 - 9 - \frac{1}{2}x-6 > -\frac{1}{2}x
Multiply by −2: Multiply both sides by −2 to solve for x. Remember that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign.-2 \times -6 < -2 \times -\left(\frac{1}{2}\right)x12 < x
Rewrite Inequality: Rewrite the inequality in a more conventional way.x > 12