Solve x + x/2 + x/3 < 11 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x+\frac{x}{2}+\frac{x}{3}<11$$

Solve for x

$x<6$

Solution Steps

Multiply both sides of the equation by $6$, the least common multiple of $2,3$. Since $6$ is positive, the inequality direction remains the same.

$$6x+3x+2x<66$$

Combine $6x$ and $3x$ to get $9x$.

$$9x+2x<66$$

Combine $9x$ and $2x$ to get $11x$.

$$11x<66$$

Divide both sides by $11$. Since $11$ is positive, the inequality direction remains the same.

$$x<\frac{66}{11}$$

Divide $66$ by $11$ to get $6$.

$$x<6$$