What is (2x-1)(x+2)>(x+3)(x-2) ?

The solution to (2x-1)(x+2)>(x+3)(x-2) is True for all x

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(2x-1)(x+2)>(x+3)(x-2)

(2 x - 1) (x + 2) > (x + 3) (x - 2)

True for all x

Solution steps

(2 x - 1) (x + 2) > (x + 3) (x - 2)

Rewrite in standard form

x^{2} + 2 x + 4 > 0

Complete the square

x^{2} + 2 x + 4 : (x + 1)^{2} + 3

(x + 1)^{2} + 3 > 0

Move

3

to the right side

(x + 1)^{2} > - 3

If n is even,

u^{n} \geq 0

for all

u

True for all x

- 2 n < 30

12 x^{2} - 180 x + 464 = 0

∣ 3 x - 1 ∣ = ∣ x + 5 ∣

∣ x + 1 ∣ = 2 x + 1

x (7 x - 5) = 12

What is (2x-1)(x+2)>(x+3)(x-2) ?
The solution to (2x-1)(x+2)>(x+3)(x-2) is True for all x