Solve for x 52-3x<-14

$52 - 3 x < - 14$

Step 1

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

Subtract $52$ from both sides of the inequality.

$- 3 x < - 14 - 52$

Subtract $52$ from $- 14$ .

$- 3 x < - 66$

Step 2

Divide each term in $- 3 x < - 66$ by $- 3$ and simplify.

Divide each term in $- 3 x < - 66$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} > \frac{- 66}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} > \frac{- 66}{- 3}$

Divide $x$ by $1$ .

$x > \frac{- 66}{- 3}$

Simplify the right side.

Divide $- 66$ by $- 3$ .

$x > 22$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 22$

Interval Notation:

$(22, \infty)$

Solve for x 52-3x<-14

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