Solve for x -4>=10-7x

$- 4 \geq 10 - 7 x$

Step 1

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

$10 - 7 x \leq - 4$

Step 2

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

Subtract $10$ from both sides of the inequality.

$- 7 x \leq - 4 - 10$

Subtract $10$ from $- 4$ .

$- 7 x \leq - 14$

Step 3

Divide each term in $- 7 x \leq - 14$ by $- 7$ and simplify.

Divide each term in $- 7 x \leq - 14$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 x}{- 7} \geq \frac{- 14}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} \geq \frac{- 14}{- 7}$

Divide $x$ by $1$ .

$x \geq \frac{- 14}{- 7}$

Simplify the right side.

Divide $- 14$ by $- 7$ .

$x \geq 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 2$

Interval Notation:

$[2, \infty)$

Solve for x -4>=10-7x

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