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Popular >

3>= |4x+1|

Solution

3 \geq ∣ 4 x + 1 ∣

Solution

- 1 \leq x \leq \frac{1}{2}

+2

Interval Notation

[- 1, \frac{1}{2}]

Decimal Notation

- 1 \leq x \leq 0.5

Solution steps

3 \geq ∣ 4 x + 1 ∣

Switch sides

∣ 4 x + 1 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq 4 x + 1 \leq 3

4 x + 1 \geq - 3 and 4 x + 1 \leq 3

x \geq - 1 and x \leq \frac{1}{2}

Merge Overlapping Intervals

- 1 \leq x \leq \frac{1}{2}

Popular Examples

factor-16x^2+24x+240 factor

- 16 x^{2} + 24 x + 240

factor 8x^3+8xy^2-98x factor

8 x^{3} + 8 x y^{2} - 98 x

- x > - 2

x^{2} = 60

factor y^3-4y factor

y^{3} - 4 y

Frequently Asked Questions (FAQ)

What is 3>= |4x+1| ?
The solution to 3>= |4x+1| is -1<= x<= 1/2