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Popular >

|2x+1|+1<= 4

Solution

∣ 2 x + 1 ∣ + 1 \leq 4

Solution

- 2 \leq x \leq 1

+1

Interval Notation

[- 2, 1]

Solution steps

∣ 2 x + 1 ∣ + 1 \leq 4

Move

1

to the right side

∣ 2 x + 1 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq 2 x + 1 \leq 3

2 x + 1 \geq - 3 and 2 x + 1 \leq 3

x \geq - 2 and x \leq 1

Merge Overlapping Intervals

- 2 \leq x \leq 1

Popular Examples

lo g_{9} (3) = w

∣ 3 x - 7 ∣ < 4

factor 4x^4+12x^2+9 factor

4 x^{4} + 12 x^{2} + 9

simplify sqrt(45/80)simplify

\frac{45}{80}

7 (3 x - 2) = 70

Frequently Asked Questions (FAQ)

What is |2x+1|+1<= 4 ?
The solution to |2x+1|+1<= 4 is -2<= x<= 1