Solve 30000-(600-2.3x)leq80000

$$30000 - ( 600 - 2.3 x ) \leq 80000$$

Solve for x

$$x\leq 22000$$

Solution Steps

To find the opposite of 600-2.3x, find the opposite of each term.

$$30000-600-\left(-2.3x\right)\leq 80000$$

The opposite of -2.3x is 2.3x.

$$30000-600+2.3x\leq 80000$$

Subtract 600 from 30000 to get 29400.

$$29400+2.3x\leq 80000$$

Subtract 29400 from both sides.

$$2.3x\leq 80000-29400$$

Subtract 29400 from 80000 to get 50600.

$$2.3x\leq 50600$$

Divide both sides by 2.3. Since 2.3 is positive, the inequality direction remains the same.

$$x\leq \frac{50600}{2.3}$$

Expand \frac{50600}{2.3} by multiplying both numerator and the denominator by 10.

$$x\leq \frac{506000}{23}$$

Divide 506000 by 23 to get 22000.

$$x\leq 22000$$