Question

Tell whether the given value is a solution of the inequality r – 3 is less than or equal to 9; r = 8

Answer 1

Yes. r = 8 satisfies the inequality.

Explanation:

From the given data, we have:

`$r - 3 \leq 9 $`

adding 3 on both sides of the inequality, we have:

`$ r \leq 12 $`

This means 'r' can take any real number value that is less than or equal to 12.

Since, r = 8 is less than 12, it can be a potential value for 'r'.

Another approach would be to substitute r = 8 directly in the inequality.

We would have: 8 - 3 ≤ 9

⇒ 5 ≤ 9

Since, 5 is less than 9, r = 8 satisfies the inequality.