# arrow_back Solve the inequality $\frac{7}{3}<\frac{p}{3}$

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Solve the inequality $\dfrac{7}{3}<\dfrac{p}{3}$

Step 1. Swap sides
$\frac{7}{3}<\frac{p}{3}$
Swap sides:
$\frac{p}{3}>\frac{7}{3}$

Step 2. Isolate the $p$
$\frac{p}{3}>\frac{7}{3}$
Multiply to both sides by 3 :
$\frac{p}{3} \cdot 3>\frac{7}{3} \cdot 3$
Group like terms:
$\frac{1}{3} \cdot 3 p>\frac{7}{3} \cdot 3$
Simplify the fraction:
$p>\frac{7}{3} \cdot 3$
Multiply the fractions:
$p>\frac{7 \cdot 3}{3}$
Simplify the right side:
$p>7$

Step 3. Solution on a coordinate plane

Solution:
$p>7$
Interval notation:
$(7, \infty)$

by Gold Status
(31,957 points)

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