Solve the Inequality for x 99-5x>=4x

$99 - 5 x \geq 4 x$

Step 1

Move all terms containing $x$ to the left side of the inequality.

Subtract $4 x$ from both sides of the inequality.

$99 - 5 x - 4 x \geq 0$

Subtract $4 x$ from $- 5 x$ .

$99 - 9 x \geq 0$

Step 2

Subtract $99$ from both sides of the inequality.

$- 9 x \geq - 99$

Step 3

Divide each term in $- 9 x \geq - 99$ by $- 9$ and simplify.

Divide each term in $- 9 x \geq - 99$ by $- 9$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 9 x}{- 9} \leq \frac{- 99}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 x}{- 9} \leq \frac{- 99}{- 9}$

Divide $x$ by $1$ .

$x \leq \frac{- 99}{- 9}$

Simplify the right side.

Divide $- 99$ by $- 9$ .

$x \leq 11$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 11$

Interval Notation:

$(- \infty, 11]$

Solve the Inequality for x 99-5x>=4x

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