Solve 6000+(x-1)25%*6000<25%6000

$$6000+(x-1)25 \% \times 6000 < 25 \% 6000$$

Solve for x

$$x<-2$$

Solution Steps

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$6000+\left(x-1\right)\times \frac{1}{4}\times 6000<\frac{25}{100}\times 6000$$

Multiply \frac{1}{4} and 6000 to get \frac{6000}{4}.

$$6000+\left(x-1\right)\times \frac{6000}{4}<\frac{25}{100}\times 6000$$

Divide 6000 by 4 to get 1500.

$$6000+\left(x-1\right)\times 1500<\frac{25}{100}\times 6000$$

Use the distributive property to multiply x-1 by 1500.

$$6000+1500x-1500<\frac{25}{100}\times 6000$$

Subtract 1500 from 6000 to get 4500.

$$4500+1500x<\frac{25}{100}\times 6000$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$4500+1500x<\frac{1}{4}\times 6000$$

Multiply \frac{1}{4} and 6000 to get \frac{6000}{4}.

$$4500+1500x<\frac{6000}{4}$$

Divide 6000 by 4 to get 1500.

$$4500+1500x<1500$$

Subtract 4500 from both sides.

$$1500x<1500-4500$$

Subtract 4500 from 1500 to get -3000.

$$1500x<-3000$$

Divide both sides by 1500. Since 1500 is positive, the inequality direction remains the same.

$$x<\frac{-3000}{1500}$$

Divide -3000 by 1500 to get -2.

$$x<-2$$