Solving Inequalities and Equations

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 graphical representation of a function.

What is the solution to the inequality -6(4x + 6) > -108?

• x < 2

• x < 3

• x < 4

• x < 5

What is a variable in mathematics?

• A variable is a fixed number that does not change.

• A variable is a symbol, often a letter, that represents an unknown value.

• A variable is a type of equation used in calculus.

• A variable is a constant that is used in algebra.

What does it mean to solve an inequality?

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

• To determine the maximum value of the variable.

• To graph the inequality on a number line.

• To find the roots of the equation related to the inequality.

What is the equation for the word problem: You bought a magazine for $5 and four erasers for a total of $25?

• 5 + 4e = 25

• 5 + 4e = 20

• 5 + 4e = 30

• 5 + 4e = 15

How do you isolate a variable in an equation?

• You perform inverse operations to both sides of the equation until the variable is alone.

• You add the same number to both sides of the equation.

• You multiply both sides of the equation by the variable.

• You divide both sides of the equation by the coefficient of the variable.

What is the solution set of an inequality?

• The set of all values that satisfy the inequality.

• A single value that makes the inequality true.

• The range of values that do not satisfy the inequality.

• The maximum value of the inequality.

What is the first step in solving the inequality 8m - 9 > 71?

• Add 9 to both sides to isolate the term with the variable.

• Multiply both sides by 8.

• Subtract 71 from both sides.

• Divide both sides by -9.

What does the symbol '≥' mean in an inequality?

• It means 'less than'.

• It means 'greater than'.

• It means 'greater than or equal to'.

• It means 'equal to'.

What is the solution to the inequality 8m - 9 > 71?

• m > 5

• m > 8

• m > 10

• m < 10