Solve 145-1201a+(120-100)(40-a)geq920

$$145 - 1201 a + ( 120 - 100 ) ( 40 - a ) \geq 920$$

Solve for a

$$a\leq \frac{25}{1221}$$

Solution Steps

Subtract 100 from 120 to get 20.

$$145-1201a+20\left(40-a\right)\geq 920$$

Use the distributive property to multiply 20 by 40-a.

$$145-1201a+800-20a\geq 920$$

Add 145 and 800 to get 945.

$$945-1201a-20a\geq 920$$

Combine -1201a and -20a to get -1221a.

$$945-1221a\geq 920$$

Subtract 945 from both sides.

$$-1221a\geq 920-945$$

Subtract 945 from 920 to get -25.

$$-1221a\geq -25$$

Divide both sides by -1221. Since -1221 is negative, the inequality direction is changed.

$$a\leq \frac{-25}{-1221}$$

Fraction \frac{-25}{-1221} can be simplified to \frac{25}{1221} by removing the negative sign from both the numerator and the denominator.

$$a\leq \frac{25}{1221}$$