Question

If |x + 5| >= 10 then​

Answer 1

Answer:

x=5

Step-by-step explanation:

mark as brainlist and fallow me

Answer 2

Answer:

x = [5 ∞)

OR

x = (-∞ -15]

Step-by-step explanation:

We have,

| x + 5 | ≥ 10

We must know that,

If we have | x | and x is positive then

| x | = x

And if x is negative,

| x | = -x

Now don't get confused dby the negative sign let me show you an example.

Always remember no matter what the number is inside a modulus function, it will always give us a positive value, except for 0

Ex:-

If x = 5

| x | = | 5 | = 5

And if x = (-5)

| x | = | (-5) | = -(-5) = 5

So when the number inside the modulus function is negative we must take it's negative, which basically means making it positive.

Then, we can say that,

If | x + 5 | ≥ 10

| x + 5 | could be positive or negative

Then,

x = [5 ∞)

OR

x = (-∞ -15]

(x + 5) ≥ 10

OR

-(x + 5) ≥ 10

So,

x + 5 ≥ 10

OR

-x - 5 ≥ 10

Then,

x ≥ 10 - 5

OR

x ≤ -10 - 5

Thus,

x ≥ 5

OR

x ≤ -15

This means that,

x = [5 ∞)

OR

x = (-∞ -15]

which can be said as

x = (all numbers between 5 and ∞, including 5)

OR

x = (all numbers between -∞ and (-15), including (-15))

Now, what we must know is it that, we can only find the value of x if we are given on what basis x's value changes.

Anyways as of now we can only say this much.

Hope it helped you and believing you understood it...All the best