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Popular >

sqrt((3-2x)^2)>= 4

Solution

(3 - 2 x)^{2} \geq 4

Solution

x \leq - \frac{1}{2} or x \geq \frac{7}{2}

+2

Interval Notation

(- \infty, - \frac{1}{2}] \cup [\frac{7}{2}, \infty)

Decimal Notation

x \leq - 0.5 or x \geq 3.5

Solution steps

(3 - 2 x)^{2} \geq 4

Square both sides

((3 - 2 x)^{2})^{2} \geq 4^{2}

Simplify

9 - 12 x + 4 x^{2} \geq 16

9 - 12 x + 4 x^{2} \geq 16 : x \leq - \frac{1}{2} or x \geq \frac{7}{2}

x \leq - \frac{1}{2} or x \geq \frac{7}{2}

Popular Examples

8 x = 5 x + 15

simplify (({3r^7s^6})/(rs^3t^8))^5 simplify

(\frac{{ 3 r ^{7} s ^{6} }}{r s ^{3} t ^{8}})^{5}

simplify sqrt(7n^4)simplify

7 n^{4}

5 y^{2} + 15 y = 0

0 = 5 x^{2} - 2 x + 6

Frequently Asked Questions (FAQ)

What is sqrt((3-2x)^2)>= 4 ?
The solution to sqrt((3-2x)^2)>= 4 is x<=-1/2 \lor x>= 7/2