Question

Solve the inequalities for real x for the following equation: $x+\frac{x}{2} +\frac{x}{3} \ \textless \ 11$.

Answer 1

$x+\dfrac{x}{2} +\dfrac{x}{3} \ \textless \ 11$

Combine like terms:

$\dfrac{11x}{6} \ \textless \ 11$

Multiply both sides by 6:

$11x \ \textless \ 66$

Divide both side by 11:

$x \ \textless \ 6$