Question

Dont understand it all
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Answer 1

`u<-10\quad \mathrm{or}\quad \:u>10`

Explanation:

`\left|u\right|+11>21\\\\\mathrm{Subtract\:}11\mathrm{\:from\:both\:sides}\\\\\left|u\right|+11-11>21-11\\\\Simplify\\\\\left|u\right|>10\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a\\\\u<-10\quad \mathrm{or}\quad \:u>10`

Answer 2

u > 10 or u < -10

Explanation:

|u| +11 > 21

Subtract 11 from each side

|u| +11-11 > 21-11

|u| > 10

There are two solutions, one positive and one negative. Remember to flip the inequality for the negative

u > 10 or u < -10