Algebra Examples

$g + \frac{7}{4} \leq 1$

Step 1

Subtract $\frac{7}{4}$ from both sides of the inequality.

$g \leq 1 - \frac{7}{4}$

Step 2

Write $1$ as a fraction with a common denominator.

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Subtract $7$ from $4$ .

$g \leq \frac{- 3}{4}$

Step 5

Move the negative in front of the fraction.

$g \leq - \frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$g \leq - \frac{3}{4}$

Interval Notation:

$(- \infty, - \frac{3}{4}]$