What is 3x(2x+3)<2x(x+4.5)+2 ?

The solution to 3x(2x+3)<2x(x+4.5)+2 is -sqrt(1/2)<x<sqrt(1/2)

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3x(2x+3)<2x(x+4.5)+2

3 x (2 x + 3) < 2 x (x + 4.5) + 2

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

Interval Notation

(- \frac{1}{2}, \frac{1}{2})

Decimal Notation

- 0.70710 \dots < x < 0.70710 \dots

Solution steps

3 x (2 x + 3) < 2 x (x + 4.5) + 2

Rewrite in standard form

2 x^{2} - 1 < 0

Move

1

to the right side

2 x^{2} < 1

Divide both sides by

2

x^{2} < \frac{1}{2}

For

u^{n} < a

, if

n

is even then

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

3 ∣ m + 7 ∣ - 9 < 30

4 x^{3} > - 12 x^{2}

\frac{4}{x + 1} < \frac{2}{x + 3}

x^{3} \geq 2 x^{2}

343 y^{3} - 216

What is 3x(2x+3)<2x(x+4.5)+2 ?
The solution to 3x(2x+3)<2x(x+4.5)+2 is -sqrt(1/2)<x<sqrt(1/2)