Solve -.5x-4leq3x-9

$$-.5x-4 \leq 3x-9$$

Solve for x

$$x\geq \frac{10}{7}$$

Solution Steps

Subtract 3x from both sides.

$$-0.5x-4-3x\leq -9$$

Combine -0.5x and -3x to get -3.5x.

$$-3.5x-4\leq -9$$

Add 4 to both sides.

$$-3.5x\leq -9+4$$

Add -9 and 4 to get -5.

$$-3.5x\leq -5$$

Divide both sides by -3.5. Since -3.5 is negative, the inequality direction is changed.

$$x\geq \frac{-5}{-3.5}$$

Expand \frac{-5}{-3.5} by multiplying both numerator and the denominator by 10.

$$x\geq \frac{-50}{-35}$$

Reduce the fraction \frac{-50}{-35} to lowest terms by extracting and canceling out -5.

$$x\geq \frac{10}{7}$$