Question

Prove: (x - 1)(x+3) > 0, x<1

It’s false, but why
a) The inequality is true
b) The inequality is false
c) The inequality is indeterminate
d) The inequality is undefined

Answer 1

The inequality (x - 1)(x + 3) > 0 is only true when x < -3 or x > 1, and it is false when -3 < x < 1.

Step-by-step explanation:

In order to prove the inequality (x - 1)(x + 3) > 0 when x < 1, we need to consider the different intervals for x and determine when the expression is positive. Hence, the inequality (x - 1)(x + 3) > 0 is only true when x < -3 or x > 1, and it is false when -3 < x < 1.