Question

Can someone help with an absolute value question

Answer 1

\[l4x+2l \ge10\]

Answer 2

is this 14x?? or l4x??

Answer 3

L4x*

Answer 4

its 4x

Answer 5

ohh ok

Answer 6

I put the l for absolute value

Answer 7

ok

Answer 8

so i think its x=2

Answer 9

but theres a less then or equal to sign therefore aren't there 2 answers?

Answer 10

yes, but i dont have that symbol. it would be 2 and -2

Answer 11

When you have an inequality of the form \(|X| \ge k\), where X is an expression in x and k is a number, change it to this compound inequality and solve the compound inequality:
\( X \ge k\) or \(X \le -k\)

Answer 12

Now let's look at your problem.
\(|4x + 2| \ge 10\)
We use the above rule to change it to:
\(4x + 2 \ge 10\) or \(4x + 2 \le -10\)

Answer 13

Now you need to solve each of those inequalities and write the word "or" in between the solutions.

Answer 14

Do you need help with the two inequalities?

Answer 15

no I got it thank you

Answer 16

What did you get for your final answer?

Answer 17

\[x \ge2 or x \le-3\]

Answer 18

Excellent work!
You deserve a medal.

Answer 19

Thank You

Answer 20

i had x =2 as well
lol

Answer 21

but i didnt do the minus