Question

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?

Answer 1

let's solve each inequality one at a time

Answer 2

what do you get when you solve a - 4 > 1 for 'a'

Answer 3

5

Answer 4

what about 5

Answer 5

a>5

Answer 6

good

Answer 7

how about a + 2 < 1

what do you get when you isolate 'a'

Answer 8

a<-3

Answer 9

close

Answer 10

1 - 2 isn't 3 though

Answer 11

a<-2

Answer 12

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"

Answer 13

so

1 - 2 = -1

Answer 14

which means a + 2 < 1 turns into a < -1

Answer 15

ok i did 1-3 oops!

Answer 16

that's ok

Answer 17

so then it is real numbers

Answer 18

hold on

Answer 19

This means

a - 4 > 1 and a + 2 < 1

turns into

a > 5 and a < -1

Answer 20

so is there such a number that is

a) greater than 5

AND

b) less than -1

at the same time?

Answer 21

No solution

Answer 22

correct, there are no real numbers that satisfy all the conditions at once

Answer 23

That makes sense thanks

Answer 24

yw