Question

Help please!!! Solve the inequality. Show your work.

|r+3| ≥ 7

What percent of 60 is 12? show your work

Answer 1

Hey there,

Lets solve this equation together ,

Break down the problem into these 2 equations


`r+3\ \textgreater \ 7`


`-(r+3)\ \textgreater \ 7`

Solve the 1st equation: r+3>7

--------------Subtract 3 from both sides


`r\ \textgreater \ 7-3`

-------------- Simplify 7−3 to 4


`r\ \textgreater \ 4`

Solve the 2nd equation: −(r+3)≥7

----Simplify brackets


`-r-3\ \textgreater \ 7`

---- Add 3 to both sides


`-r\ \textgreater \ 7+3`

----- Simplify 7+3 to 10


`-r\ \textgreater \ 10`

---- Multiply both sides by −1


`r\ \textless \ -10`

Collect all solutions

`r\ \textgreater \ 4`


`r\ \textless \ -10`


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Question # 2


`12/60 = x/100`

cross multiply


`60x = 12 * 100 60x = 1200 x = 1200/60 x = 20%`

Answer 2

| r + 3 | > 7

r + 3 > 7 r + 3 < -7
r > 7 - 3 r < -7 - 3
r > 4 r < -10

so, r > 4 and r < -10
==========================
what percent of 60 is 12
percent formula : is/of = %/100
percent = x
is = 12
of = 60
now sub
12/60 = x/100
cross multiply
60x = 12 * 100
60x = 1200
x = 1200/60
x = 20%