Graph 7x+10>17x

$7 x + 10 > 17 x$

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

Subtract $17 x$ from both sides of the inequality.

$7 x + 10 - 17 x > 0$

Subtract $17 x$ from $7 x$ .

$- 10 x + 10 > 0$

Subtract $10$ from both sides of the inequality.

$- 10 x > - 10$

Divide each term in $- 10 x > - 10$ by $- 10$ and simplify.

Divide each term in $- 10 x > - 10$ by $- 10$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 10 x}{- 10} < \frac{- 10}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} < \frac{- 10}{- 10}$

Divide $x$ by $1$ .

$x < \frac{- 10}{- 10}$

Simplify the right side.

Divide $- 10$ by $- 10$ .

$x < 1$

Graph 7x+10>17x

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