5/25/2021 Sophia :: Welcome
Score 19/20
You passed this Milestone
19 questions were answered correctly.
1 question was answered incorrectly.
1
Consider the following subset of the real number line
UNIT 2 — MILESTONE 2
How can this set be expressed using inequalities?
-3 ≤ x < 1
-3 ≥ x > 1
-3 < x ≤ 1
-3 > x ≥ 1
RATIONALE
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/9199062 1/13
, 5/25/2021 Sophia :: Welcome
CONCEPT
Introduction to Inequalities
2
What is the solution set for the following inequality?
2x + 8x ≥ 15 + 14x + 9
x ≤ -6
x ≤ -0.85
x ≥ -6
x ≥ -0.85
RATIONALE
Before solving for x, make sure that each side of the inequality is fully simplified. On the right side, we will add 15 and 9.
On the right side, 15 plus 9 is 24. On the left side, we can combine 2x and 8x.
2x plus 8x is 10x. Now we can begin to solve for x by applying inverse operations to both sides of the inequality. First, subtract 14x from both
sides.
Subtracting 14x from both sides cancels the 14x term on the right side of the inequality, leaving x terms on only the left side. Finally, divide both
sides of the inequality by -4. Remember that the sign of the inequality sign changes whenever you multiply or divide by a negative number!
The solution to the inequality is x ≤ -6.
CONCEPT
Solve Linear Inequalities
3
John is driving at a constant speed of 40 miles per hour.
How long does it take him to travel 50 miles?
An hour and 48 minutes
An hour and 15 minutes
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/9199062 2/13
Score 19/20
You passed this Milestone
19 questions were answered correctly.
1 question was answered incorrectly.
1
Consider the following subset of the real number line
UNIT 2 — MILESTONE 2
How can this set be expressed using inequalities?
-3 ≤ x < 1
-3 ≥ x > 1
-3 < x ≤ 1
-3 > x ≥ 1
RATIONALE
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/9199062 1/13
, 5/25/2021 Sophia :: Welcome
CONCEPT
Introduction to Inequalities
2
What is the solution set for the following inequality?
2x + 8x ≥ 15 + 14x + 9
x ≤ -6
x ≤ -0.85
x ≥ -6
x ≥ -0.85
RATIONALE
Before solving for x, make sure that each side of the inequality is fully simplified. On the right side, we will add 15 and 9.
On the right side, 15 plus 9 is 24. On the left side, we can combine 2x and 8x.
2x plus 8x is 10x. Now we can begin to solve for x by applying inverse operations to both sides of the inequality. First, subtract 14x from both
sides.
Subtracting 14x from both sides cancels the 14x term on the right side of the inequality, leaving x terms on only the left side. Finally, divide both
sides of the inequality by -4. Remember that the sign of the inequality sign changes whenever you multiply or divide by a negative number!
The solution to the inequality is x ≤ -6.
CONCEPT
Solve Linear Inequalities
3
John is driving at a constant speed of 40 miles per hour.
How long does it take him to travel 50 miles?
An hour and 48 minutes
An hour and 15 minutes
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/9199062 2/13
