Solve for x x/3+x/7<2

Problem

x/3+x/7<2

Solution

1. Find a common denominator for the fractions on the left side of the inequality, which is 21

2. Rewrite the terms by multiplying the first fraction by 7/7 and the second fraction by 3/3

(7*x)/21+(3*x)/21<2

3. Combine the fractions by adding the numerators over the common denominator.

(10*x)/21<2

4. Isolate the variable by multiplying both sides of the inequality by 21

10*x<42

5. Divide both sides by 10 to solve for x

x<42/10

6. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 2

x<21/5

Final Answer

x/3+x/7<2⇒x<21/5

Want more problems? Check here!