Solve the absolute value inequality. Other than ∅, use interval notation to express the solution set and graph the
solution set on a number line.
-A spinner has ten regions numbered 1 through 10 . If the spinner is spun 100 times, we would expect about 10 of the outcomes to be Region 1. It can be determined that the spinner is unbalanced if $x$, the number of outcomes that result in Region 1, satisfies $\left| \frac { x - 10 } { 3 } \right| \geq 1.645$. Describe the number of outcomes that determine an unbalanced spinner that is spun 100 times.
A) Fewer than 6 or more than 14 outcomes
B) Between 6 and 14 outcomes
C) Fewer than 9 or more than 17 outcomes
D) Between 9 and 17 outcomes

Question

Quizplus · Accepted Answer

Solving the inequality $\left| \frac { x - 10 } { 3 } \right| \geq 1.645$, we find two cases: $\frac { x - 10 } { 3 } \geq 1.645$ and $\frac { x - 10 } { 3 } \leq -1.645$. Solving these gives $x \geq 14.935$ and $x \leq 5.065$, respectively. Thus, the number of outcomes for an unbalanced spinner is fewer than 6 or more than 14.

Solve the Absolute Value Inequality xxx , the Number of Outcomes That Result in Region 1

Solve the Absolute Value Inequality $x$ , the Number of Outcomes That Result in Region 1