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Popular >

(x-3)(x-4)>-12

Solution

(x - 3) (x - 4) > - 12

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

(x - 3) (x - 4) > - 12

Rewrite in standard form

x^{2} - 7 x + 24 > 0

Complete the square

x^{2} - 7 x + 24 : (x - \frac{7}{2})^{2} + \frac{47}{4}

(x - \frac{7}{2})^{2} + \frac{47}{4} > 0

Move

\frac{47}{4}

to the right side

(x - \frac{7}{2})^{2} > - \frac{47}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify (2/3)/2 simplify

\frac{\frac{2}{3}}{2}

35(-2)+12(-2)=20(-2)-48

35 (- 2) + 12 (- 2) = 20 (- 2) - 48

2(4x+1)(2x+1)=0

2 (4 x + 1) (2 x + 1) = 0

simplify (-2+(4i)/n)^2 simplify

(- 2 + \frac{4 i}{n})^{2}

simplify log_{7}(1/49)simplify

lo g_{7} (\frac{1}{49})

Frequently Asked Questions (FAQ)

What is (x-3)(x-4)>-12 ?
The solution to (x-3)(x-4)>-12 is True for all x