Solve 0.9x-5000geq700

$$0.9 x - 5000 \geq 700$$

Solve for x

$$x\geq \frac{19000}{3}$$

Solution Steps

Add 5000 to both sides.

$$0.9x\geq 700+5000$$

Add 700 and 5000 to get 5700.

$$0.9x\geq 5700$$

Divide both sides by 0.9. Since 0.9 is positive, the inequality direction remains the same.

$$x\geq \frac{5700}{0.9}$$

Expand \frac{5700}{0.9} by multiplying both numerator and the denominator by 10.

$$x\geq \frac{57000}{9}$$

Reduce the fraction \frac{57000}{9} to lowest terms by extracting and canceling out 3.

$$x\geq \frac{19000}{3}$$