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Popular >

x^3-7x+6>= 0

Solution

x^{3} - 7 x + 6 \geq 0

Solution

- 3 \leq x \leq 1 or x \geq 2

+1

Interval Notation

[- 3, 1] \cup [2, \infty)

Solution steps

x^{3} - 7 x + 6 \geq 0

Factor

x^{3} - 7 x + 6 : (x - 1) (x - 2) (x + 3)

(x - 1) (x - 2) (x + 3) \geq 0

Identify the intervals

- 3 \leq x \leq 1 or x \geq 2

Popular Examples

x^3-10x^2-7x+16>0

x^{3} - 10 x^{2} - 7 x + 16 > 0

((3x+1))/(((2x+5)(5x+3)))>0

\frac{( 3 x + 1 )}{( ( 2 x + 5 ) ( 5 x + 3 ) )} > 0

(x+4)^5(x+3)^6(x+2)^7(x-1)^8<= 0

(x + 4)^{5} (x + 3)^{6} (x + 2)^{7} (x - 1)^{8} \leq 0

((x^2+x-20))/((-x^2+9))>0

\frac{( x ^{2} + x - 20 )}{( - x ^{2} + 9 )} > 0

x^{2} - 5 x + 2 < \frac{1}{2}

Frequently Asked Questions (FAQ)

What is x^3-7x+6>= 0 ?
The solution to x^3-7x+6>= 0 is -3<= x<= 1\lor x>= 2