Solve the Inequality for a a/7-1<=-5

$\frac{a}{7} - 1 \leq - 5$

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

Add $1$ to both sides of the inequality.

$\frac{a}{7} \leq - 5 + 1$

Add $- 5$ and $1$ .

$\frac{a}{7} \leq - 4$

Multiply both sides by $7$ .

$\frac{a}{7} \cdot 7 \leq - 4 \cdot 7$

Simplify.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{a}{7} \cdot 7 \leq - 4 \cdot 7$

Rewrite the expression.

$a \leq - 4 \cdot 7$

Simplify the right side.

Multiply $- 4$ by $7$ .

$a \leq - 28$

The result can be shown in multiple forms.

Inequality Form:

$a \leq - 28$

Interval Notation:

$(- \infty, - 28]$