Solve the Inequality for x 3x-7x+2<10-12

$3 x - 7 x + 2 < 10 - 12$

Subtract $7 x$ from $3 x$ .

$- 4 x + 2 < 10 - 12$

Subtract $12$ from $10$ .

$- 4 x + 2 < - 2$

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

Subtract $2$ from both sides of the inequality.

$- 4 x < - 2 - 2$

Subtract $2$ from $- 2$ .

$- 4 x < - 4$

Divide each term in $- 4 x < - 4$ by $- 4$ and simplify.

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

$\frac{- 4 x}{- 4} > \frac{- 4}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} > \frac{- 4}{- 4}$

Divide $x$ by $1$ .

$x > \frac{- 4}{- 4}$

Simplify the right side.

Divide $- 4$ by $- 4$ .

$x > 1$

The result can be shown in multiple forms.

Inequality Form:

$x > 1$

Interval Notation:

$(1, \infty)$

Solve the Inequality for x 3x-7x+2<10-12

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