Solve the Inequality for x 9x-7<=4x

$9 x - 7 \leq 4 x$

Move all terms containing $x$ to the left side of the inequality.

Subtract $4 x$ from both sides of the inequality.

$9 x - 7 - 4 x \leq 0$

Subtract $4 x$ from $9 x$ .

$5 x - 7 \leq 0$

Add $7$ to both sides of the inequality.

$5 x \leq 7$

Divide each term in $5 x \leq 7$ by $5$ and simplify.

Divide each term in $5 x \leq 7$ by $5$ .

$\frac{5 x}{5} \leq \frac{7}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \leq \frac{7}{5}$

Divide $x$ by $1$ .

$x \leq \frac{7}{5}$

The result can be shown in multiple forms.

Inequality Form:

$x \leq \frac{7}{5}$

Interval Notation:

$(- \infty, \frac{7}{5}]$