Evaluate 1/7x-3<1

$\frac{1}{7} x - 3 < 1$

Combine $\frac{1}{7}$ and $x$ .

$\frac{x}{7} - 3 < 1$

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

Add $3$ to both sides of the inequality.

$\frac{x}{7} < 1 + 3$

Add $1$ and $3$ .

$\frac{x}{7} < 4$

Multiply both sides by $7$ .

$\frac{x}{7} \cdot 7 < 4 \cdot 7$

Simplify.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{x}{7} \cdot 7 < 4 \cdot 7$

Rewrite the expression.

$x < 4 \cdot 7$

Simplify the right side.

Multiply $4$ by $7$ .

$x < 28$

The result can be shown in multiple forms.

Inequality Form:

$x < 28$

Interval Notation:

$(- \infty, 28)$