The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

$\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}$

• If d is negative and

$\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}$

Therefore, the equation that has no solutions is:

$\boldsymbol{|x|=-3}$

3 0

1 year ago

ANSWER AS MANY THROUGH 1 and 9 FOR 15 POINTS

Tamiku [17]

Number 9 is 1.52 because you divide 15.3 by 10 it will be 1 .52

7 0

3 years ago

Put 9, -7, and -8 in order from least to greatest. You can use the number line to help. 9 -10 -8 -7 -6 -8 -4 -2 0 2 4 6 8 10

boyakko [2]

-8, -7, 9

Step-by-step explanation:

8 0

2 years ago