Solve the Inequality for x 50<8-6x

$50 < 8 - 6 x$

Rewrite so $x$ is on the left side of the inequality.

$8 - 6 x > 50$

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

Subtract $8$ from both sides of the inequality.

$- 6 x > 50 - 8$

Subtract $8$ from $50$ .

$- 6 x > 42$

Divide each term in $- 6 x > 42$ by $- 6$ and simplify.

Divide each term in $- 6 x > 42$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} < \frac{42}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} < \frac{42}{- 6}$

Divide $x$ by $1$ .

$x < \frac{42}{- 6}$

Simplify the right side.

Divide $42$ by $- 6$ .

$x < - 7$

The result can be shown in multiple forms.

Inequality Form:

$x < - 7$

Interval Notation:

$(- \infty, - 7)$

Solve the Inequality for x 50<8-6x

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