Question

How do you solve and write the following in interval notation: `(2x + 3)(x − 1) ≥ 0`?

Answer 1

`x !in (-3/2, 1)`

Explanation:

Both (2x+3) and (x-1) should be either `>=0` or `<=0`

For `2x+3 >=0 and x-1>=0, x>=-3/2 and x>=1`..

Here, `x>=1` includes `x>=-3/2`.

Likewise, for the other case, `x<=-3/2`.

Combining both, `x !in (-3/2, 1)`..