Evaluate 14-3x<-1

$14 - 3 x < - 1$

Step 1

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

Subtract $14$ from both sides of the inequality.

$- 3 x < - 1 - 14$

Subtract $14$ from $- 1$ .

$- 3 x < - 15$

Step 2

Divide each term in $- 3 x < - 15$ by $- 3$ and simplify.

Divide each term in $- 3 x < - 15$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} > \frac{- 15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} > \frac{- 15}{- 3}$

Divide $x$ by $1$ .

$x > \frac{- 15}{- 3}$

Simplify the right side.

Divide $- 15$ by $- 3$ .

$x > 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 5$

Interval Notation:

$(5, \infty)$

Evaluate 14-3x<-1

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