Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question express the interval using two different representations. -4≤x…

Question

question express the interval using two different representations. -4≤x≤-1 answer attempt 2 out of 2 interval notation: -4, -1 number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click line to delete. click closed circle to change to open circle

Explanation:

Step1: Recall interval notation rules

For $a\leq x\leq b$, interval notation is $[a,b]$. Here $a = - 4$ and $b=-1$, so interval notation is $[-4,-1]$.

Step2: Represent on number - line

On the number - line, for $-4\leq x\leq - 1$, we mark solid circles at $-4$ and $-1$ (because of the $\leq$ signs) and draw a line segment between them.

Answer:

Interval Notation: $[-4,-1]$
Number Line: Mark solid circles at $-4$ and $-1$ and draw a line segment between them on the number - line.