need help in pre-univ math

[neat quartz]

says to solve the following questions abt absolute value, and explain how did you get it. (need it for plus points cause my grades in math are really low 😔)

[neat quartz]

need help in pre-univ math

[worn helm]

Try using the definition of absolute value. |x| = 4 could have two possible solutions since if x=-4, |x| is still 4 and if x = 4 then |x|=4 still holds

this shows that you can put a plus minus sign on either sides of the equation and solve for both cases

[neat quartz]

For the second one you should do the same just put ±
x-6 = 4 or x-6 = -4
x=10 or x = 2

thank you guys 🫶🙏🏻

[obsidian frigate]

1st 𝑥 = ±4
2nd 𝑥 = 2 or 𝑥 = 10
3rd 𝑥 = −1 or 𝑥 = −9

if u want explanation tell me i will give

[neat quartz]

thank you, yes please 😄

[obsidian frigate]

well it means the distance from zero, so it's always positive....

just like

1. ∣𝑥∣ = 4 → 𝑥 = 4 or 𝑥 = −4
2. ∣𝑥−6∣ = 4 → 𝑥−6 = 4 or 𝑥−6 = −4 → 𝑥 = 10 or 𝑥 = 2
3. ∣𝑥+5∣ = 4 → 𝑥+5 = 4 or 𝑥+5 = −4 → 𝑥 = −1 or 𝑥 = −9

is this enough or u want more?

[amber warren]

|x| = ((x)^2)^(1/2) so |-1| = |1| = 1

[neat quartz]

thank u very much 🩷