Solve the Inequality for x 5x>=7x+4

$5 x \geq 7 x + 4$

Step 1

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

Subtract $7 x$ from both sides of the inequality.

$5 x - 7 x \geq 4$

Subtract $7 x$ from $5 x$ .

$- 2 x \geq 4$

Step 2

Divide each term in $- 2 x \geq 4$ by $- 2$ and simplify.

Divide each term in $- 2 x \geq 4$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} \leq \frac{4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} \leq \frac{4}{- 2}$

Divide $x$ by $1$ .

$x \leq \frac{4}{- 2}$

Simplify the right side.

Divide $4$ by $- 2$ .

$x \leq - 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 2$

Interval Notation:

$(- \infty, - 2]$

Solve the Inequality for x 5x>=7x+4

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