Question

Solve the following compound inequality: x > -2 or x < 1

A. -2 < x < 1
B. no solution
C. x > -2
D. all real numbers

Answer 1

A. -2 < x < 1. To solve the compound inequality x > -2 or x < 1, we need to find the values of x that satisfy either condition. The solution for this compound inequality is -2 < x < 1.

Step-by-step explanation:

To solve the compound inequality x > -2 or x < 1, we need to find the values of x that satisfy either condition.

For the first condition x > -2, we can see that any x value greater than -2 will satisfy this inequality. So the solution for this condition is x > -2.

For the second condition x < 1, we can see that any x value less than 1 will satisfy this inequality. So the solution for this condition is x < 1.

Combining the two solutions, we get x > -2 or x < 1.

So the correct option is A. -2 < x < 1.