Find tha values of `x^2` for the given values of x. (i) `x lt 2`
(ii) `x gt -1 `
(iii) `x ge 2`
(iv) ` x lt -1 `

Explanation

To solve the problem of finding the values of \( x^2 \) for the given conditions on \( x \), we will analyze each case step by step.

### Step-by-Step Solution:

1. **Case (i): \( x < 2 \)**
- Since \( x \) can take any value less than 2, it includes all negative numbers and positive numbers less than 2.
- When we square these values, \( x^2 \) will always be non-negative because squaring any real number (whether negative or positive) results in a non-negative value.
- Therefore, \( x^2 \) can take any value from \( 0 \) to \( 4 \) (not including 4, since \( x \) cannot equal 2).
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