Solve 45-16*1.5-1.5(1+0.2)mgeq3

$$45 - 16 \times 1.5 - 1.5 ( 1 + 0.2 ) m \geq 3$$

Solve for m

$$m\leq 10$$

Solution Steps

Multiply 16 and 1.5 to get 24.

$$45-24-1.5\left(1+0.2\right)m\geq 3$$

Subtract 24 from 45 to get 21.

$$21-1.5\left(1+0.2\right)m\geq 3$$

Add 1 and 0.2 to get 1.2.

$$21-1.5\times 1.2m\geq 3$$

Multiply 1.5 and 1.2 to get 1.8.

$$21-1.8m\geq 3$$

Subtract 21 from both sides.

$$-1.8m\geq 3-21$$

Subtract 21 from 3 to get -18.

$$-1.8m\geq -18$$

Divide both sides by -1.8. Since -1.8 is negative, the inequality direction is changed.

$$m\leq \frac{-18}{-1.8}$$

Expand \frac{-18}{-1.8} by multiplying both numerator and the denominator by 10.

$$m\leq \frac{-180}{-18}$$

Divide -180 by -18 to get 10.

$$m\leq 10$$