Solve (x-4)/(4)+1 < (x+4)/(8) | 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

$$\frac{ x-4 }{ 4 } +1 < \frac{ x+4 }{ 8 }$$

Solve for x

$x<4$

Solution Steps

Multiply both sides of the equation by $8$, the least common multiple of $4,8$. Since $8$ is positive, the inequality direction remains the same.

$$2\left(x-4\right)+8<x+4$$

Use the distributive property to multiply $2$ by $x-4$.

$$2x-8+8<x+4$$

Add $-8$ and $8$ to get $0$.

$$2x<x+4$$

Subtract $x$ from both sides.

$$2x-x<4$$

Combine $2x$ and $-x$ to get $x$.

$$x<4$$