What is -8<= 5x-7<= 5 ?

The solution to -8<= 5x-7<= 5 is -1/5 <= x<= 12/5

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-8<= 5x-7<= 5

- 8 \leq 5 x - 7 \leq 5

- \frac{1}{5} \leq x \leq \frac{12}{5}

Interval Notation

[- \frac{1}{5}, \frac{12}{5}]

Decimal Notation

- 0.2 \leq x \leq 2.4

Solution steps

- 8 \leq 5 x - 7 \leq 5

a \leq u \leq b

then

a \leq u and u \leq b

- 8 \leq 5 x - 7 and 5 x - 7 \leq 5

- 8 \leq 5 x - 7 : x \geq - \frac{1}{5}

5 x - 7 \leq 5 : x \leq \frac{12}{5}

Combine the intervals

x \geq - \frac{1}{5} and x \leq \frac{12}{5}

Merge Overlapping Intervals

- \frac{1}{5} \leq x \leq \frac{12}{5}

\frac{π}{6} - 2 π

c^{2} - 12 c = - 76

8 n + 2 (- 8 n + 3) \leq n + 2 + 9 n

3 - \frac{3}{2} y = - 2

∣ x + 10 ∣ \geq 4