Graph 5-4(2x-7)<-39

$5 - 4 (2 x - 7) < - 39$

Step 1

Simplify $5 - 4 (2 x - 7)$ .

Simplify each term.

Apply the distributive property.

$5 - 4 (2 x) - 4 \cdot - 7 < - 39$

Multiply $2$ by $- 4$ .

$5 - 8 x - 4 \cdot - 7 < - 39$

Multiply $- 4$ by $- 7$ .

$5 - 8 x + 28 < - 39$

Add $5$ and $28$ .

$- 8 x + 33 < - 39$

Step 2

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

Subtract $33$ from both sides of the inequality.

$- 8 x < - 39 - 33$

Subtract $33$ from $- 39$ .

$- 8 x < - 72$

Step 3

Divide each term in $- 8 x < - 72$ by $- 8$ and simplify.

Divide each term in $- 8 x < - 72$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 x}{- 8} > \frac{- 72}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} > \frac{- 72}{- 8}$

Divide $x$ by $1$ .

$x > \frac{- 72}{- 8}$

Simplify the right side.

Divide $- 72$ by $- 8$ .

$x > 9$

Step 4

Graph 5-4(2x-7)<-39

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