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
, lOMoAR cPSD| 7670600
●
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
$
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
, lOMoAR cPSD| 7670600
●
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
$
