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Popular >

3x^2-7x+14>= 10

Solution

3 x^{2} - 7 x + 14 \geq 10

Solution

x \leq 1 or x \geq \frac{4}{3}

+2

Interval Notation

(- \infty, 1] \cup [\frac{4}{3}, \infty)

Decimal Notation

x \leq 1 or x \geq 1.33333 \dots

Solution steps

3 x^{2} - 7 x + 14 \geq 10

Rewrite in standard form

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

Factor

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

(x - 1) (3 x - 4) \geq 0

Identify the intervals

x \leq 1 or x \geq \frac{4}{3}

Popular Examples

simplify 53/2 \times 2/61 simplify

\frac{53}{2} \times \frac{2}{61}

3/4 x-2<= 2x+1<= 1/4 x+2

\frac{3}{4} x - 2 \leq 2 x + 1 \leq \frac{1}{4} x + 2

∣ 2 x + 4 ∣ = 16

v^{2} = 54 - 12 v

\frac{3}{7} x + 5 = 8

Frequently Asked Questions (FAQ)

What is 3x^2-7x+14>= 10 ?
The solution to 3x^2-7x+14>= 10 is x<= 1\lor x>= 4/3