Solve 250x+300left(x+1right)<45*60

$$250x+300 \left( x+1 \right) < 45 \times 60$$

Solve for x

$$x<\frac{48}{11}$$

Solution Steps

Use the distributive property to multiply 300 by x+1.

$$250x+300x+300<45\times 60$$

Combine 250x and 300x to get 550x.

$$550x+300<45\times 60$$

Multiply 45 and 60 to get 2700.

$$550x+300<2700$$

Subtract 300 from both sides.

$$550x<2700-300$$

Subtract 300 from 2700 to get 2400.

$$550x<2400$$

Divide both sides by 550. Since 550 is positive, the inequality direction remains the same.

$$x<\frac{2400}{550}$$

Reduce the fraction \frac{2400}{550} to lowest terms by extracting and canceling out 50.

$$x<\frac{48}{11}$$