Question

Select the inequality that corresponds to the given graph.

Answer 1

3x - 7 < 11

-4x greater than or equal to 24

-2x + 7 less than or greater to 13

3(x - 2) - 3 greater than or equal to x - 5
@ParthKohli

Answer 2

Your affair with inequalities isn't going too well, it seems she gives you so much trouble :D
LOL JK

Let's look at your graph first. It's a closed circle, so it includes -6, am I right?

Answer 3

A shaded circle, rather.

Answer 4

yes

Answer 5

So, it includes things to the left of -6, right? And to the left of -6, is that greater than or less than -6?

Answer 6

ya

Answer 7

That was a question... LOL
To the left of -6
does that mean
x ≤ -6
or
x ≥ -6
?

Answer 8

option B

Answer 9

shoot sorry didnt mean to close it

Answer 10

No :)
And in general, the number line increases to the right and decreases to the left.

Answer 11

Oh ok

Answer 12

So, it means the graph shows
x ≤ -6
ok? :)

Answer 13

K

Answer 14

Let's have a look at your first choice...
3x - 7 < 11
Simplify it... could you do it?

Answer 15

+7 on both sides

Answer 16

3x<18

Answer 17

and then...?

Answer 18

x=6

Answer 19

x<6 *
Don't suddenly turn the inequality into an equals-sign :D
Is this the inequality we wanted?

Answer 20

Lol sorry, no its not

Answer 21

Don't apologise, lol it only means that the first choice isn't the correct one :D
Let's have a look at the second choice...
-4x ≥ 24
If I'm not mistaken.
Simplify this, :)

Answer 22

it would be

Answer 23

You divided both sides by -4, but don't forget that dividing (or multiplying) both sides of an inequality by a NEGATIVE number will REVERSE the inequality :)

Answer 24

wat u mean?

Answer 25

Say, we have the inequality
-4 < -2
But if we divide both sides by -2, we get
2 > 1
In other words, if we multiply or divide something negative on inequalities, you should REVERSE the inequality :)

Answer 26

so...
-4x ≥ 24
We divide both sides by -4, we REVERSE the inequality because -4 is negative :D
x ≤ -6
Which is EXACTLY what we wanted :D

Answer 27

Thats wat i meant sorry

Answer 28

I'm back, anyone needs help? :3

Answer 29

I got another q 1 sec parthy poo

Answer 30

Another way to think about \(-4x > 24 \iff x < -6\) is that you add 4x and then subtract 24.