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Popular >

4x^2-9>= 0

Solution

4 x^{2} - 9 \geq 0

Solution

x \leq - \frac{3}{2} or x \geq \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{3}{2}] \cup [\frac{3}{2}, \infty)

Decimal Notation

x \leq - 1.5 or x \geq 1.5

Solution steps

4 x^{2} - 9 \geq 0

Move

9

to the right side

4 x^{2} \geq 9

Divide both sides by

4

x^{2} \geq \frac{9}{4}

For

u^{n} \geq a

, if

n

is even then

x \leq - \frac{9}{4} or x \geq \frac{9}{4}

\frac{9}{4} = \frac{3}{2}

x \leq - \frac{3}{2} or x \geq \frac{3}{2}

Popular Examples

x^{3} \geq 0

((x+4)(x-10))/((x+2))>0

\frac{( x + 4 ) ( x - 10 )}{( x + 2 )} > 0

24x^6-10x^3+1<0

24 x^{6} - 10 x^{3} + 1 < 0

x (2 x - 1) < 0

(11)/((5x-3))>0

\frac{11}{( 5 x - 3 )} > 0

Frequently Asked Questions (FAQ)

What is 4x^2-9>= 0 ?
The solution to 4x^2-9>= 0 is x<=-3/2 \lor x>= 3/2