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Popular >

-3m^2+2m+1<= 0

Solution

- 3 m^{2} + 2 m + 1 \leq 0

Solution

m \leq - \frac{1}{3} or m \geq 1

+2

Interval Notation

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

Decimal Notation

m \leq - 0.33333 \dots or m \geq 1

Solution steps

- 3 m^{2} + 2 m + 1 \leq 0

Factor

- 3 m^{2} + 2 m + 1 : - (3 m + 1) (m - 1)

- (3 m + 1) (m - 1) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (3 m + 1) (m - 1)) (- 1) \geq 0 \cdot (- 1)

Simplify

(3 m + 1) (m - 1) \geq 0

Identify the intervals

m \leq - \frac{1}{3} or m \geq 1

Popular Examples

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

n^{2} < n

\frac{1 - 1}{x ^{2}} > 0

(x-11)*(x^2-7x+10)>0

(x - 11) \cdot (x^{2} - 7 x + 10) > 0

((x-1))/((x+2))>= ((x-3))/((x+4))

\frac{( x - 1 )}{( x + 2 )} \geq \frac{( x - 3 )}{( x + 4 )}

Frequently Asked Questions (FAQ)

What is -3m^2+2m+1<= 0 ?
The solution to -3m^2+2m+1<= 0 is m<=-1/3 \lor m>= 1