Solve for x -6>=10-4x

$- 6 \geq 10 - 4 x$

Step 1

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

$10 - 4 x \leq - 6$

Step 2

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

Subtract $10$ from both sides of the inequality.

$- 4 x \leq - 6 - 10$

Subtract $10$ from $- 6$ .

$- 4 x \leq - 16$

Step 3

Divide each term in $- 4 x \leq - 16$ by $- 4$ and simplify.

Divide each term in $- 4 x \leq - 16$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} \geq \frac{- 16}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} \geq \frac{- 16}{- 4}$

Divide $x$ by $1$ .

$x \geq \frac{- 16}{- 4}$

Simplify the right side.

Divide $- 16$ by $- 4$ .

$x \geq 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 4$

Interval Notation:

$[4, \infty)$

Solve for x -6>=10-4x

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