Question

Which compound sentence is equivalent to |x - 5| > 4?

Answer 1

x-5>4
x>9

x-5<-4
x<1

x>9 or x<1

Answer 2

x-5>4=> x>9
-x+5>4=>x<1

Answer 3

-4<x-5<4
==> -4+5<x-5+5<4+5
==> 1<x<9

Answer 4

^^wrong

Answer 5

sorry got it in wrong way...
thought was less than sign...
so |x-5|>4 isnt it...
When |x-5|= -(x-5)... [-ve]
==> -(x-5)>4
==> x-5<-4
==> x<1...Eqn[1]

When |x-5|= (x-5) [+ve]
==> x-5>4
==> x>4+5
==> x>9...Eqn[2]

Now,
From Eqn [1] and [2]
Compound solution is x<1 or x>9

Answer 6

Write the solution to the following problem as an ordered pair: The sum of two numbers is 170 and their difference is 26.