Solve the Inequality for x -3/8x<=24

$- \frac{3}{8} x \leq 24$

Multiply each term in $- \frac{3}{8} x \leq 24$ by $- \frac{8}{3}$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{3}{8} x (- \frac{8}{3}) \geq 24 (- \frac{8}{3})$

Simplify the left side.

Combine $x$ and $\frac{3}{8}$ .

$- \frac{x \cdot 3}{8} (- \frac{8}{3}) \geq 24 (- \frac{8}{3})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{x \cdot 3}{8}$ into the numerator.

$\frac{- x \cdot 3}{8} (- \frac{8}{3}) \geq 24 (- \frac{8}{3})$

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$\frac{- x \cdot 3}{8} \cdot \frac{- 8}{3} \geq 24 (- \frac{8}{3})$

Factor $3$ out of $- x \cdot 3$ .

$\frac{3 \cdot (- x)}{8} \cdot \frac{- 8}{3} \geq 24 (- \frac{8}{3})$

Cancel the common factor.

$\frac{3 \cdot (- x)}{8} \cdot \frac{- 8}{3} \geq 24 (- \frac{8}{3})$

Rewrite the expression.

$\frac{- x}{8} \cdot - 8 \geq 24 (- \frac{8}{3})$

Cancel the common factor of $8$ .

Factor $8$ out of $- 8$ .

$\frac{- x}{8} \cdot (8 (- 1)) \geq 24 (- \frac{8}{3})$

Cancel the common factor.

$\frac{- x}{8} \cdot (8 \cdot - 1) \geq 24 (- \frac{8}{3})$

Rewrite the expression.

$- x \cdot - 1 \geq 24 (- \frac{8}{3})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x \geq 24 (- \frac{8}{3})$

Multiply $x$ by $1$ .

$x \geq 24 (- \frac{8}{3})$

Simplify the right side.

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$x \geq 24 (\frac{- 8}{3})$

Factor $3$ out of $24$ .

$x \geq 3 (8) \frac{- 8}{3}$

Cancel the common factor.

$x \geq 3 \cdot 8 \frac{- 8}{3}$

Rewrite the expression.

$x \geq 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$x \geq - 64$

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 64$

Interval Notation:

$[- 64, \infty)$

Solve the Inequality for x -3/8x<=24

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