Solve for x 1/4x+1<5

$\frac{1}{4} x + 1 < 5$

Step 1

Combine $\frac{1}{4}$ and $x$ .

$\frac{x}{4} + 1 < 5$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Subtract $1$ from both sides of the inequality.

$\frac{x}{4} < 5 - 1$

Subtract $1$ from $5$ .

$\frac{x}{4} < 4$

Step 3

Multiply both sides by $4$ .

$\frac{x}{4} \cdot 4 < 4 \cdot 4$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x}{4} \cdot 4 < 4 \cdot 4$

Rewrite the expression.

$x < 4 \cdot 4$

Simplify the right side.

Multiply $4$ by $4$ .

$x < 16$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x < 16$

Interval Notation:

$(- \infty, 16)$