write the interval notation for x is less then 6 and x is greater than or equal to -1

Question

i dont know how to do it 

Answer 1

Based on the words used here, we translate this into an inequality.

 

x < 6           and        x ≥ -1

 

 

This is the same as

 

-1 ≤ x < 6

 

 

This means that x is a number between -1 and 6, including -1.  When we include a number, we use brackets as opposed to parentheses.

 

 

Interval notation will be

 

[-1, 6)

 

Answer 2

Given x<6 and x≥-1

 

Let's first combine these:

        -1 ≤ x < 6                (note: we had to reverse the second one)

 

Now, we can write interval notation:

      [-1, 6)                 (on number line, it is:  closed dot at -1; open dot at 6)