Solve (x - 7)/49 < 1/7 | 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

$$\frac{x-7}{49}<\frac{1}{7}$$

Solve for x

$x<14$

Solution Steps

Multiply both sides by $49$. Since $49$ is positive, the inequality direction remains the same.

$$x-7<\frac{1}{7}\times 49$$

Multiply $\frac{1}{7}$ and $49$ to get $\frac{49}{7}$.

$$x-7<\frac{49}{7}$$

Divide $49$ by $7$ to get $7$.

$$x-7<7$$

Add $7$ to both sides.

$$x<7+7$$

Add $7$ and $7$ to get $14$.

$$x<14$$