Equations and Inequalities Review

What is the solution to the inequality @@1.5n < 7.5@@?

• n < 5

• n > 5

• n = 5

• n ≤ 5

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

• By substituting the number into the inequality and checking if the statement is true.

• By graphing the inequality and seeing if the number lies on the line.

• By calculating the absolute value of the number and comparing it to the inequality.

• By finding the roots of the inequality and checking if the number is one of them.

What does the symbol > mean?

• 'Less than'

• 'Equal to'

• 'Greater than'

• 'Not equal to'

What is a variable in an equation?

• A variable is a constant value that does not change.

• A variable is a symbol, often a letter, that represents an unknown value in an equation or inequality.

• A variable is a type of equation that has no solution.

• A variable is a number that is always positive.

What is a solution set in the context of inequalities?

• A solution set is the set of all values that satisfy the inequality. For example, for @@1.5n < 7.5@@, the solution set is {n | n < 5}.

• A solution set is the set of all values that do not satisfy the inequality.

• A solution set is a graphical representation of the inequality on a number line.

• A solution set is the maximum value that satisfies the inequality.

What is the difference between an equation and an inequality?

• An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

• An equation shows that one expression is greater than or less than another, while an inequality states that two expressions are equal.

• An equation is a mathematical statement that includes variables, while an inequality does not.

• An equation can only contain numbers, while an inequality can contain both numbers and variables.

How do you graph the solution to an inequality on a number line?

• Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

• Always use a closed circle for all inequalities regardless of the sign.

• Graph the inequality by drawing a straight line without any circles.

• Shade the entire number line without using any circles.

What does the inequality @@x \le 1@@ represent on a number line?

• All values of x that are greater than 1.

• All values of x that are less than 1, excluding 1 itself.

• All values of x that are less than or equal to 1, including 1 itself.

• All values of x that are equal to 1.

How do you represent the inequality for values of v shown on a number line?

• v > a or v < b

• v = a and v = b

• v < a or v > b

• v >= a and v <= b

What is the equation for total cost if Sarah buys 4 bags of chips at p dollars each?

• t = 4p

• t = 2p

• t = 4 + p

• t = p - 4