Solve the Inequality for x -4x-1>=-21

$- 4 x - 1 \geq - 21$

Step 1

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

Add $1$ to both sides of the inequality.

$- 4 x \geq - 21 + 1$

Add $- 21$ and $1$ .

$- 4 x \geq - 20$

Step 2

Divide each term in $- 4 x \geq - 20$ by $- 4$ and simplify.

Divide each term in $- 4 x \geq - 20$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} \leq \frac{- 20}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} \leq \frac{- 20}{- 4}$

Divide $x$ by $1$ .

$x \leq \frac{- 20}{- 4}$

Simplify the right side.

Divide $- 20$ by $- 4$ .

$x \leq 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq 5$

Interval Notation:

$(- \infty, 5]$

Solve the Inequality for x -4x-1>=-21

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