Convert to Set Notation 6-9x>=13+4x

$6 - 9 x \geq 13 + 4 x$

Solve $6 - 9 x \geq 13 + 4 x$ .

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

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Subtract $4 x$ from both sides of the inequality.

$6 - 9 x - 4 x \geq 13$

Subtract $4 x$ from $- 9 x$ .

$6 - 13 x \geq 13$

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

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Subtract $6$ from both sides of the inequality.

$- 13 x \geq 13 - 6$

Subtract $6$ from $13$ .

$- 13 x \geq 7$

Divide each term by $- 13$ and simplify.

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Divide each term in $- 13 x \geq 7$ by $- 13$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 13 x}{- 13} \leq \frac{7}{- 13}$

Cancel the common factor of $- 13$ .

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Cancel the common factor.

$\frac{- 13 x}{- 13} \leq \frac{7}{- 13}$

Divide $x$ by $1$ .

$x \leq \frac{7}{- 13}$

Move the negative in front of the fraction.

$x \leq - \frac{7}{13}$

Use the inequality $x \leq - \frac{7}{13}$ to build the set notation.

${x | x \leq - \frac{7}{13}}$

Convert to Set Notation 6-9x>=13+4x

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