What is -24<= 4x-11<= 1 ?

The solution to -24<= 4x-11<= 1 is -13/4 <= x<= 3

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-24<= 4x-11<= 1

- 24 \leq 4 x - 11 \leq 1

- \frac{13}{4} \leq x \leq 3

Interval Notation

[- \frac{13}{4}, 3]

Decimal Notation

- 3.25 \leq x \leq 3

Solution steps

- 24 \leq 4 x - 11 \leq 1

a \leq u \leq b

then

a \leq u and u \leq b

- 24 \leq 4 x - 11 and 4 x - 11 \leq 1

- 24 \leq 4 x - 11 : x \geq - \frac{13}{4}

4 x - 11 \leq 1 : x \leq 3

Combine the intervals

x \geq - \frac{13}{4} and x \leq 3

Merge Overlapping Intervals

- \frac{13}{4} \leq x \leq 3

6 x^{2} = 5 x + 6

2 + 3 x \leq - 7

5 x + 6 = 2 + 3 x

z^{2} + 10 z + 25

7 x^{2} + 49 x = 0