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Popular >

x^2+5x-14<= 2x-4

Solution

x^{2} + 5 x - 14 \leq 2 x - 4

Solution

- 5 \leq x \leq 2

+1

Interval Notation

[- 5, 2]

Solution steps

x^{2} + 5 x - 14 \leq 2 x - 4

Rewrite in standard form

x^{2} + 3 x - 10 \leq 0

Factor

x^{2} + 3 x - 10 : (x - 2) (x + 5)

(x - 2) (x + 5) \leq 0

Identify the intervals

- 5 \leq x \leq 2

Popular Examples

-12<(6x-24)/3 <4

- 12 < \frac{6 x - 24}{3} < 4

simplify 6/(sqrt(10))simplify

\frac{6}{10}

simplify x*x^{-1/2}simplify

x \cdot x^{- \frac{1}{2}}

15 - (\frac{12}{4})^{2}

(-3x)/5+x/8 = 1/4

\frac{- 3 x}{5} + \frac{x}{8} = \frac{1}{4}

Frequently Asked Questions (FAQ)

What is x^2+5x-14<= 2x-4 ?
The solution to x^2+5x-14<= 2x-4 is -5<= x<= 2