Question

RSM HW HELP!!! PLEASE SOLVE A.S.A.P!

Answer 1

value of x lies in number line as $1$ and $-10\leq x$ .

Step-by-step explanation:

Here , we need to tell where on a number line the value of x is for expression $|x|>1$ . Let's find out:

We know that for a Modulus function the value inside modulus is both positive & negative depending on value of x , So

x is positive :

Equation will be

⇒ $x>1$ , That means all numbers which are greater than 1 are included i.e. from 1 to 10 , where 1 is not included as x is strictly greater than 1 .

x is negative :

Equation will be

⇒ $-x>1$

⇒ $-x(-1)>1(-1)$

⇒ $x$ , That means all numbers which are less than -1 are included i.e. from -1 to -10 , where -1 is not included as x is strictly less than -1 .

Therefore , value of x lies in number line as $1$ and $-10\leq x$ .