Question

How does less than or greater than even work?

Answer 1

So you're comfortable with the equals sign, yes?
If I say \(\Large\rm x=4\), this means x takes on the value 4. Only that value.

If I instead say \(\Large\rm x\gt4\), this no longer represents a single value, it's a whole set of values.
x can be 5, it can be 6, and so on...
x is the `set of values` larger than 4.

Takes a little getting used to, thinking of a set or range of values, instead of a single value.

Answer 2

Can you help me with this question,
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4

Answer 3

a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)

Answer 4

So one option would be to plug each of your choices into the system, and see which one holds `true`.

Example:
Let's plug option a. (-5,2) into the system :
\[\Large\rm y \le x-5\]\(\Large\rm 2 \le -5-5\qquad\qquad\to\qquad 2\le-10\)

\[\Large\rm y\ge -(x)-4\]\(\Large\rm 2\ge -(-5)-4\qquad\to\qquad 2\ge 1\)

2 is greater than or equal to 1, yes?
But the first part is not true, 2 is NOT less than or equal to -10, right?

Answer 5

That eliminates option a. for us.

Answer 6

Confused at all how I plugged those numbers in?

Answer 7

So I believe the answer to be c (-5,-2) when I plug this into your solutions:

y< or > -x−5
-2<+5−5 →2<0 yes

y< or > −(x)−4
-2<=−(−5)−4 →2<=-1 yes

Is this right thinking?

Answer 8

There is no `less than or greater than` symbol.
You must be reading it incorrectly.

Did you mean `less than or equal to`?

Answer 9

Nope that is what it says.

Answer 10

I can't figure it out either wtf

Answer 11

Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4
Select one:
a. (-5, 2)
b. (5, -2)
c. (-5, -2)
d. (5, 2)

Answer 12

if possible can you take a screenshot of original problem and attach ? :)

Answer 13

Sure, why not?

Answer 14

Whoops, But that is the exact question, it says less than or greater to.
It shows up multiple times and I do not understand what it means, does it mean not equal to?

Answer 15

I can't take a screen shot i guess

Answer 16

the issue is not with what it means,
the issue is with not seeing that terminology before and there is no need for extra confusing terminology like this

Answer 17

It is a system of inequalities if that helps any

Answer 18

y less than or greater to x - 5

can be interpreted as

\(\large y \ne x-5\)

Answer 19

So, y = x -5 is a solid line on a graph and y not = to x -5 is everything but the solid line then?

Answer 20

thats what you get if u force urself to interpret what it means
but i think the question could be wrong cuz i have never seen "less than or greater to" in any highschool textbooks

Answer 21

So then my teacher is just making it harder for me at this point?

Answer 22

the best way to settle this is to ask your teacher if our interpretation is correct...

Answer 23

Okay, I appreciate the help, I am definitely going to contact her and ask her.

Answer 24

okay :) do let us know once you figure it out...

Answer 25

Alright sounds good, (: thanks for the help though, I am pretty sure you're right idk why my teacher would make things so difficult.

Answer 26

np :)