anonymous
  • anonymous
Which of the following is the solution of a - 4 > 1 and a + 2 < 1? Answer All Real Numbers No Solution what does is mean real number or no solution?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
let's solve each inequality one at a time
jim_thompson5910
  • jim_thompson5910
what do you get when you solve a - 4 > 1 for 'a'
anonymous
  • anonymous
5

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More answers

jim_thompson5910
  • jim_thompson5910
what about 5
anonymous
  • anonymous
a>5
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
how about a + 2 < 1 what do you get when you isolate 'a'
anonymous
  • anonymous
a<-3
jim_thompson5910
  • jim_thompson5910
close
jim_thompson5910
  • jim_thompson5910
1 - 2 isn't 3 though
anonymous
  • anonymous
a<-2
jim_thompson5910
  • jim_thompson5910
1 - 2 is like saying "I have 1 dollar and I'm going to spend $2, so I'll be 2-1 = 1 dollar in debt...ie have a balance of -1 dollars"
jim_thompson5910
  • jim_thompson5910
so 1 - 2 = -1
jim_thompson5910
  • jim_thompson5910
which means a + 2 < 1 turns into a < -1
anonymous
  • anonymous
ok i did 1-3 oops!
jim_thompson5910
  • jim_thompson5910
that's ok
anonymous
  • anonymous
so then it is real numbers
jim_thompson5910
  • jim_thompson5910
hold on
jim_thompson5910
  • jim_thompson5910
This means a - 4 > 1 and a + 2 < 1 turns into a > 5 and a < -1
jim_thompson5910
  • jim_thompson5910
so is there such a number that is a) greater than 5 AND b) less than -1 at the same time?
anonymous
  • anonymous
No solution
jim_thompson5910
  • jim_thompson5910
correct, there are no real numbers that satisfy all the conditions at once
anonymous
  • anonymous
That makes sense thanks
jim_thompson5910
  • jim_thompson5910
yw

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