How to solve x+x/2+x/3 < 11

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve x+x/2+x/3 < 11 | Equatix

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$$x+x/2+x/3 < 11$$

$x<6$

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 $6$.

$$x<6$$