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Popular >

|4x+3|-4<= 11

Solution

∣ 4 x + 3 ∣ - 4 \leq 11

Solution

- \frac{9}{2} \leq x \leq 3

+2

Interval Notation

[- \frac{9}{2}, 3]

Decimal Notation

- 4.5 \leq x \leq 3

Solution steps

∣ 4 x + 3 ∣ - 4 \leq 11

Move

4

to the right side

∣ 4 x + 3 ∣ \leq 15

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 15 \leq 4 x + 3 \leq 15

4 x + 3 \geq - 15 and 4 x + 3 \leq 15

x \geq - \frac{9}{2} and x \leq 3

Merge Overlapping Intervals

- \frac{9}{2} \leq x \leq 3

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Frequently Asked Questions (FAQ)

What is |4x+3|-4<= 11 ?
The solution to |4x+3|-4<= 11 is -9/2 <= x<= 3