Sophia College Algebra Final Milestone Questions And Answers With Updated Study Quizzes

Sophia College Algebra Final Milestone Questions
And Answers With Updated Study Quizzes

, lOMoAR cPSD| 7670600




1 ●

Consider the following subset of the real number line.




How can this set be expressed using inequalities?



2 ≥x>5
●



2 ≤ x <5
$



2<x≤5
●

2>x≥5

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●



RATIONALE



This number line represents a range of values,
which indicates that x will be between the two
numbers, 2 and 5. The open circle at 2
indicates that we cannot include the exact
value of 2 in our solution, so use the inequality
sign for less than: <. The closed circle at 5
indicates that we can include the exact value
of 5 in our solution, so use the inequality sign
for less than or equal to, ≤.

This inequality states that x is between, but
not including, -2 and exactly 5.



CONCEPT
→ Introduction to Inequalities



2●

The cost of a small business is given by the expression 3000 + 12x,
where x is the number of units produced. The business will be
profitable whenever its profit y exceeds its cost.

If the profit region is shaded in blue, which of the following
graphs corresponds to the given situation?

, lOMoAR cPSD| 7670600




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