Solving One Step Inequalities (7th)

How do you check if a solution is correct for an inequality?

• You substitute the solution back into the original inequality to see if it holds true.

• You graph the inequality and check if the solution lies on the graph.

• You calculate the derivative of the inequality to find critical points.

• You compare the solution to the boundary points of the inequality.

What is the importance of understanding inequalities in real-life applications?

• Inequalities help model situations where limits or constraints are involved, such as budgeting, resource allocation, and optimization.

• Inequalities are only relevant in theoretical mathematics and have no real-life applications.

• Inequalities are used to calculate the exact values of variables in equations.

• Inequalities are primarily used in statistics to analyze data distributions.

What is an inequality?

• A mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

• A type of equation that has no solution.

• A statement that asserts the equality of two expressions.

• A method for solving linear equations.

What does the inequality n + 21 < 0 represent?

• All values of n that are greater than -21.

• All values of n that are less than -21.

• All values of n that are equal to -21.

• All values of n that are between -21 and 0.

What is the difference between strict and non-strict inequalities?

• Strict inequalities include the endpoint, while non-strict inequalities do not.

• Strict inequalities do not include the endpoint, while non-strict inequalities do include the endpoint.

• Strict inequalities are represented by ≤ and ≥, while non-strict inequalities are represented by < and >.

• Strict inequalities can only be used in equations, while non-strict inequalities can be used in both equations and inequalities.

What does it mean to solve an inequality?

• To find a single value that satisfies the inequality.

• To find all values of the variable that make the inequality true.

• To determine if the inequality has no solution.

• To graph the inequality on a number line.

What is the inequality that represents spending no more than $60 at Top Golf if each hour costs $12?

• 12h ≤ 60

• h ≤ 5

• 12h < 60

• h < 5

What is the solution to the inequality s + 5 ≤ 14?

• s ≤ 8

• s ≤ 9

• s ≤ 10

• s ≤ 7

How do you graph the solution of an inequality?

• You use a number line to represent the solution set, using open or closed circles to indicate whether endpoints are included.

• You plot points on a Cartesian plane and connect them with a line.

• You create a bar graph to show the range of solutions.

• You write the inequality in standard form and solve for x.

What is the solution to the inequality z/8 ≥ 3?

• z ≥ 20

• z ≥ 22

• z ≥ 24

• z ≥ 26