Graph 4-x/7<=5

$4 - \frac{x}{7} \leq 5$

Step 1

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

Subtract $4$ from both sides of the inequality.

$- \frac{x}{7} \leq 5 - 4$

Subtract $4$ from $5$ .

$- \frac{x}{7} \leq 1$

Step 2

Divide each term in $- \frac{x}{7} \leq 1$ by $- 1$ and simplify.

Divide each term in $- \frac{x}{7} \leq 1$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{x}{7}}{- 1} \geq \frac{1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{x}{7}}{1} \geq \frac{1}{- 1}$

Divide $\frac{x}{7}$ by $1$ .

$\frac{x}{7} \geq \frac{1}{- 1}$

Simplify the right side.

Divide $1$ by $- 1$ .

$\frac{x}{7} \geq - 1$

Step 3

Multiply both sides by $7$ .

$\frac{x}{7} \cdot 7 \geq - 1 \cdot 7$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{x}{7} \cdot 7 \geq - 1 \cdot 7$

Rewrite the expression.

$x \geq - 1 \cdot 7$

Simplify the right side.

Multiply $- 1$ by $7$ .

$x \geq - 7$

Step 5

Graph 4-x/7<=5

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