The absolute value is defined as

So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that

• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that

The solution to the inequality is the union of these two intervals.
Answer:
upper control limit = 13.34
Step-by-step explanation:
The c-chart is used to check the change in the number of recorded calls per day
First find out the center line
c = sum of recorded calls/number of days
c = (3 + 0 + 8 + 9 + 6 + 7 + 4 + 9 + 8)/9
c = 54/9
c = 6
The upper control limit for 3σ is
upper control limit = c + 3√c
upper control limit = 6 + 3√6
upper control limit = 13.34
Therefore, the upper control limit for the 3-sigma c-chart is 13.34.

Use the distributive property and combine like terms.
Answer:
6.1555
Step-by-step explanation:
the 5 is infinite in 6.15 such as 6.155555555 it does not stop