Solve 1(0.03x+4)geq0.02x+0.434

$$1 ( 0.03 x + 4 ) \geq 0.02 x + 0.434$$

Solve for x

$$x\geq -356.6$$

Solution Steps

Use the distributive property to multiply 1 by 0.03x+4.

$$0.03x+4\geq 0.02x+0.434$$

Subtract 0.02x from both sides.

$$0.03x+4-0.02x\geq 0.434$$

Combine 0.03x and -0.02x to get 0.01x.

$$0.01x+4\geq 0.434$$

Subtract 4 from both sides.

$$0.01x\geq 0.434-4$$

Subtract 4 from 0.434 to get -3.566.

$$0.01x\geq -3.566$$

Divide both sides by 0.01. Since 0.01 is positive, the inequality direction remains the same.

$$x\geq \frac{-3.566}{0.01}$$

Expand \frac{-3.566}{0.01} by multiplying both numerator and the denominator by 1000.

$$x\geq \frac{-3566}{10}$$

Reduce the fraction \frac{-3566}{10} to lowest terms by extracting and canceling out 2.

$$x\geq -\frac{1783}{5}$$