Solve 5-3p/2geq2

$$\frac { 5 - 3 p } { 2 } \geq 2$$

Solve for p

$$p\leq \frac{1}{3}$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$5-3p\geq 2\times 2$$

Multiply 2 and 2 to get 4.

$$5-3p\geq 4$$

Subtract 5 from both sides.

$$-3p\geq 4-5$$

Subtract 5 from 4 to get -1.

$$-3p\geq -1$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$p\leq \frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$p\leq \frac{1}{3}$$