Solving linear inequalities in one variable

What is a compound inequality?

• A compound inequality combines two inequalities, often using 'and' or 'or' to connect them.

• A compound inequality is a single inequality that has multiple variables.

• A compound inequality is an equation that has two solutions.

• A compound inequality is a type of function that describes a relationship between two variables.

What is a linear inequality?

• A mathematical statement that compares a linear expression to a value using equality symbols (like =).

• A mathematical statement that compares a linear expression to a value using inequality symbols (like <, >, ≤, or ≥).

• A type of equation that has no solutions.

• A graphical representation of a linear function.

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

• It means 'greater than'.

• It means 'equal to'.

• It means 'less than'.

• It means 'not equal to'.

What does it mean if a number is a solution to an inequality?

• A number is a solution to an inequality if it is greater than zero.

• A number is a solution to an inequality if, when substituted into the inequality, it makes the statement true.

• A number is a solution to an inequality if it is an integer.

• A number is a solution to an inequality if it is less than one.

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

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

• Add the number to both sides of the inequality.

• Multiply the number by a constant and compare the results.

• Graph the inequality and see if the number lies within the shaded region.

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

• It means 'less than'

• It means 'equal to'

• It means 'greater than'

• It means 'not equal to'

How do you graph a linear inequality on a number line?

• Use an open circle for '<' or '>' and shade the left side of the number line.

• Use a closed circle for '≤' or '≥' and shade the right side of the number line.

• Use an open circle for '<' or '>' and a closed circle for '≤' or '≥', then shade the appropriate side of the number line.

• Use a closed circle for all inequalities and do not shade any side.

How do you solve the inequality c + 7 < -2?

• c < -9

• c < -5

• c < -3

• c < 0

What happens to the inequality sign when you multiply or divide by a negative number?

• The inequality sign remains the same.

• You must reverse the inequality sign.

• The inequality sign changes to an equal sign.

• The inequality sign disappears.

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 set of values that are greater than zero.