Solve the Inequality for x 5+4x>=x+8

$5 + 4 x \geq x + 8$

Step 1

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

Subtract $x$ from both sides of the inequality.

$5 + 4 x - x \geq 8$

Subtract $x$ from $4 x$ .

$5 + 3 x \geq 8$

Step 2

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

Subtract $5$ from both sides of the inequality.

$3 x \geq 8 - 5$

Subtract $5$ from $8$ .

$3 x \geq 3$

Step 3

Divide each term in $3 x \geq 3$ by $3$ and simplify.

Divide each term in $3 x \geq 3$ by $3$ .

$\frac{3 x}{3} \geq \frac{3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} \geq \frac{3}{3}$

Divide $x$ by $1$ .

$x \geq \frac{3}{3}$

Simplify the right side.

Divide $3$ by $3$ .

$x \geq 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 1$

Interval Notation:

$[1, \infty)$