What is 4x-3<= 6x-1<= 4x+5 ?

The solution to 4x-3<= 6x-1<= 4x+5 is -1<= x<= 3

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4x-3<= 6x-1<= 4x+5

4 x - 3 \leq 6 x - 1 \leq 4 x + 5

- 1 \leq x \leq 3

Solution steps

4 x - 3 \leq 6 x - 1 \leq 4 x + 5

a \leq u \leq b

then

a \leq u and u \leq b

4 x - 3 \leq 6 x - 1 and 6 x - 1 \leq 4 x + 5

4 x - 3 \leq 6 x - 1 : x \geq - 1

6 x - 1 \leq 4 x + 5 : x \leq 3

Combine the intervals

x \geq - 1 and x \leq 3

Merge Overlapping Intervals

- 1 \leq x \leq 3

(x + y)^{2} - (x - y)^{2}

- 4 x + 3 < - 9

823500 (1 - 0.26)^{1}

0.5 x^{2} + 1 \leq 4 ∣ x ∣

\frac{1}{4} (1 - 3 x) = - 2