What is |-6X+2|<= X+9 ?

The solution to |-6X+2|<= X+9 is -1<= X<= 11/5

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|-6X+2|<= X+9

∣ - 6 X + 2 ∣ \leq X + 9

- 1 \leq X \leq \frac{11}{5}

Interval Notation

[- 1, \frac{11}{5}]

Decimal Notation

- 1 \leq X \leq 2.2

Solution steps

∣ - 6 X + 2 ∣ \leq X + 9

Find positive and negative intervals

X \leq \frac{1}{3}, X > \frac{1}{3}

Solve the inequality for each interval

- 1 \leq X \leq \frac{1}{3} or \frac{1}{3} < X \leq \frac{11}{5}

Merge Overlapping Intervals

- 1 \leq X \leq \frac{11}{5}

8 a^{2} - 4 a

u^{2} - 10 u + 9 = 0

- \frac{2}{9} \cdot \frac{3}{10}

\frac{1}{2} - \frac{1}{7}

9 = y - 4