Solving Inequalities

What does it mean if an inequality has no solution?

• It means there are no values that satisfy the inequality, such as x > x.

• It means there is at least one value that satisfies the inequality.

• It means the inequality can be simplified to a true statement.

• It means the inequality has infinite solutions.

What is an inequality?

• A mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

• A type of equation that shows equality between two expressions.

• A graphical representation of a function.

• A method for solving linear equations.

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

• 'Less than'

• 'Equal to'

• 'Greater than'

• 'Not equal to'

Write an inequality for the maximum speed limit of 55 mph.

• s < 55

• s = 55

• s ≤ 55

• s ≥ 55

How do you solve the inequality x + 4 < 10?

• Subtract 4 from both sides: x < 6.

• Add 4 to both sides: x < 14.

• Multiply both sides by 2: x < 20.

• Divide both sides by 2: x < 3.

How do you check if a number is a solution to an inequality?

• Substitute the number into the inequality and see if the statement is true.

• Multiply the number by two and check if it is greater than the inequality.

• Add the number to both sides of the inequality and see if it holds true.

• Divide the number by the coefficient of the variable in the inequality.

Solve the inequality 30 + n ≥ 50.

• n ≥ 10

• n ≥ 15

• n ≥ 20

• n ≥ 25

What is the solution to the inequality -3 + x ≤ -11?

• x ≤ -7

• x ≤ -8

• x ≤ -9

• x ≤ -6

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

• Less than

• Greater than

• Greater than or equal to

• Equal to

What is a compound inequality?

• A single inequality that has one solution.

• A compound inequality combines two inequalities, such as x < 3 and x > 1, written as 1 < x < 3.

• An inequality that only involves addition or subtraction.

• A type of inequality that cannot be solved.