Solve 0.25a+(2500-a)*0.5leq1000

$$0.25 a + ( 2500 - a ) \cdot 0.5 \leq 1000$$

Solve for a

$$a\geq 1000$$

Solution Steps

Use the distributive property to multiply 2500-a by 0.5.

$$0.25a+1250-0.5a\leq 1000$$

Combine 0.25a and -0.5a to get -0.25a.

$$-0.25a+1250\leq 1000$$

Subtract 1250 from both sides.

$$-0.25a\leq 1000-1250$$

Subtract 1250 from 1000 to get -250.

$$-0.25a\leq -250$$

Divide both sides by -0.25. Since -0.25 is negative, the inequality direction is changed.

$$a\geq \frac{-250}{-0.25}$$

Expand \frac{-250}{-0.25} by multiplying both numerator and the denominator by 100.

$$a\geq \frac{-25000}{-25}$$

Divide -25000 by -25 to get 1000.

$$a\geq 1000$$