Solve x+10<2x+1

$$x + 10 < 2 x + 1$$

Solve for x

$$x>9$$

Solution Steps

Subtract 2x from both sides.

$$x+10-2x<1$$

Combine x and -2x to get -x.

$$-x+10<1$$

Subtract 10 from both sides.

$$-x<1-10$$

Subtract 10 from 1 to get -9.

$$-x<-9$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x>\frac{-9}{-1}$$

Fraction \frac{-9}{-1} can be simplified to 9 by removing the negative sign from both the numerator and the denominator.

$$x>9$$