Solve the Inequality for x -4<=11-3x

$- 4 \leq 11 - 3 x$

Step 1

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

$11 - 3 x \geq - 4$

Step 2

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

Subtract $11$ from both sides of the inequality.

$- 3 x \geq - 4 - 11$

Subtract $11$ from $- 4$ .

$- 3 x \geq - 15$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 15$ by $- 3$ .

$x \leq 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 5$

Interval Notation:

$(- \infty, 5]$

Solve the Inequality for x -4<=11-3x

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