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Popular >

3x^2-4x>= 7

Solution

3 x^{2} - 4 x \geq 7

Solution

x \leq - 1 or x \geq \frac{7}{3}

+2

Interval Notation

(- \infty, - 1] \cup [\frac{7}{3}, \infty)

Decimal Notation

x \leq - 1 or x \geq 2.33333 \dots

Solution steps

3 x^{2} - 4 x \geq 7

Rewrite in standard form

3 x^{2} - 4 x - 7 \geq 0

Factor

3 x^{2} - 4 x - 7 : (x + 1) (3 x - 7)

(x + 1) (3 x - 7) \geq 0

Identify the intervals

x \leq - 1 or x \geq \frac{7}{3}

Popular Examples

(2x-7)/(9-4x)<=-2

\frac{2 x - 7}{9 - 4 x} \leq - 2

simplify 2sqrt(18)+3sqrt(2)+sqrt(162)simplify

218 + 32 + 162

factor 3(x+3)^2+12(x+3)factor

3 (x + 3)^{2} + 12 (x + 3)

factor-10x^2-14y^2+20xy+40x+480y+10000 factor

- 10 x^{2} - 14 y^{2} + 20 x y + 40 x + 480 y + 10000

17 x > - 17

Frequently Asked Questions (FAQ)

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