# How do you solve and write the following in interval notation: #2x^2 - 5x ≥ 7#?

##### 1 Answer

Aug 1, 2016

#### Answer:

Closed interval

#### Explanation:

Bring the quadratic inequality to standard form:

The parabola graph is open upward (a > 0). Between the 2 x-intercepts (real roots), f(x) <= 0 , as a part of the parabola stays below the x-axis. Then, find the 2 x-intercepts (real roots) by solving f(x) = 0

Since a - b + c = 0, use shortcut. The 2 real roots are: x1 = -1 and

Answer by closed interval