What is 8>= (4-7x)/7 >=-9 ?

The solution to 8>= (4-7x)/7 >=-9 is -52/7 <= x<= 67/7

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8>= (4-7x)/7 >=-9

8 \geq \frac{4 - 7 x}{7} \geq - 9

- \frac{52}{7} \leq x \leq \frac{67}{7}

Interval Notation

[- \frac{52}{7}, \frac{67}{7}]

Decimal Notation

- 7.42857 \dots \leq x \leq 9.57142 \dots

Solution steps

8 \geq \frac{4 - 7 x}{7} \geq - 9

a \geq u \geq b

then

a \geq u and u \geq b

8 \geq \frac{4 - 7 x}{7} and \frac{4 - 7 x}{7} \geq - 9

8 \geq \frac{4 - 7 x}{7} : x \geq - \frac{52}{7}

\frac{4 - 7 x}{7} \geq - 9 : x \leq \frac{67}{7}

Combine the intervals

x \geq - \frac{52}{7} and x \leq \frac{67}{7}

Merge Overlapping Intervals

- \frac{52}{7} \leq x \leq \frac{67}{7}

2^{2} + 5^{2}

5^{3}

4 x^{2} + 8 x - 12 \geq 0

- b^{3} - 8 b^{2} - 16 b

- 3 x + 9 = x^{2} + 2 x + 9

What is 8>= (4-7x)/7 >=-9 ?
The solution to 8>= (4-7x)/7 >=-9 is -52/7 <= x<= 67/7