To solve the inequality \(-3 > 6 - 2x\), follow these steps: 1. **Isolate the term involving \(x\)**: \[ -3 - 6 > -2x \] Simplifying this gives: \[ -9 > -2x \] 2. **Divide by -2**: Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign. \[ \frac{-9}{-2} \frac{9}{2} \] So the solution to the inequality is: \[ x > 4.5 \]

-3>6-2x

1 answer

To solve the inequality \(-3 > 6 - 2x\), follow these steps:

Isolate the term involving \(x\): \[ -3 - 6 > -2x \] Simplifying this gives: \[ -9 > -2x \]
Divide by -2: Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign. \[ \frac{-9}{-2} < x \] Simplifying this gives: \[ \frac{9}{2} < x \] or equivalently, \[ x > \frac{9}{2} \]

So the solution to the inequality is: \[ x > 4.5 \]