Solve the following inequality using the addition property of inequalities. Graph the solution set.

Question

Quizplus · Accepted Answer

The inequality is:
x - 4 < 6

Using the addition property of inequalities, we add 4 to both sides:
x - 4 + 4 < 6 + 4
x < 10

The solution set is all real numbers less than 10, but not including 10. This can be represented on a number line as a shaded circle at 10 with an arrow pointing to the left, indicating all values less than 10.

Choice A is incorrect because it shows the solution set as all values less than or equal to 10, which includes 10 itself.

Choice C is incorrect because it shows the solution set as all values greater than or equal to 10, which is the opposite of what we found.

Choices D and E are unrelated to the given inequality.

Solve the Following Inequality Using the Addition Property of Inequalities