Question

-u≥4−u≥4 true. Then write an equalivalent inequality, in terms of uu. (Numbers written in order from least to greatest going across.)

Answer 1

`(a)\ u \le -4`

`(b)\ u =\{-\infty,.....,-6,-5,-4\}`

Explanation:

Given

`-u \ge 4`

Solving (a): An equivalent inequality

We have:

`-u \ge 4`

Multiply both sides by -1 (this changes the inequality)

`-u*-1 \le 4 * -1`

`u \le -4`

Solving (b): Values of u from least to greatest

`u \le -4` implies that u ends at -4, starting from negative infinity

So, the list is:

`u =\{-\infty,.....,-6,-5,-4\}`