Solve 5-x+2<2/3

$$5 - x + 2 < 2 / 3$$

Solve for x

$$x>\frac{19}{3}$$

Solution Steps

Add 5 and 2 to get 7.

$$7-x<\frac{2}{3}$$

Subtract 7 from both sides.

$$-x<\frac{2}{3}-7$$

Convert 7 to fraction \frac{21}{3}.

$$-x<\frac{2}{3}-\frac{21}{3}$$

Since \frac{2}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.

$$-x<\frac{2-21}{3}$$

Subtract 21 from 2 to get -19.

$$-x<-\frac{19}{3}$$

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

$$x>\frac{-\frac{19}{3}}{-1}$$

Express \frac{-\frac{19}{3}}{-1} as a single fraction.

$$x>\frac{-19}{3\left(-1\right)}$$

Multiply 3 and -1 to get -3.

$$x>\frac{-19}{-3}$$

Fraction \frac{-19}{-3} can be simplified to \frac{19}{3} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{19}{3}$$