6. The perimeter of a square room is 48 m, how much square metre carpet required it cover it ?
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To solve this, we would need to figure out the values of for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,
So <em>cannot </em>be negative. So,
For this to <em>have </em>a solution, k needs to be greater than or equal to .
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is .
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