Solve 43t+8.60geq120.40

$$43 t + 8.60 \geq 120.40$$

Solve for t

$$t\geq \frac{13}{5}$$

Solution Steps

Subtract 8.6 from both sides.

$$43t\geq 120.4-8.6$$

Subtract 8.6 from 120.4 to get 111.8.

$$43t\geq 111.8$$

Divide both sides by 43. Since 43 is positive, the inequality direction remains the same.

$$t\geq \frac{111.8}{43}$$

Expand \frac{111.8}{43} by multiplying both numerator and the denominator by 10.

$$t\geq \frac{1118}{430}$$

Reduce the fraction \frac{1118}{430} to lowest terms by extracting and canceling out 86.

$$t\geq \frac{13}{5}$$