Solve for x 35-4x>2

$35 - 4 x > 2$

Step 1

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

Subtract $35$ from both sides of the inequality.

$- 4 x > 2 - 35$

Subtract $35$ from $2$ .

$- 4 x > - 33$

Step 2

Divide each term in $- 4 x > - 33$ by $- 4$ and simplify.

Divide each term in $- 4 x > - 33$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} < \frac{- 33}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} < \frac{- 33}{- 4}$

Divide $x$ by $1$ .

$x < \frac{- 33}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x < \frac{33}{4}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < \frac{33}{4}$

Interval Notation:

$(- \infty, \frac{33}{4})$

Solve for x 35-4x>2

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