Two-step inequalities

What is a compound inequality?

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

• A compound inequality combines two inequalities, often using 'and' or 'or' to connect them, representing a range of values.

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

• A compound inequality is a type of inequality that only uses 'and' to connect two statements.

What does the symbol '≤' mean?

• 'greater than'

• 'less than'

• 'less than or equal to'

• 'equal to'

What is the solution set of an inequality?

• The set of all values that make the inequality true.

• A single value that satisfies the inequality.

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

• The set of all possible values for the variable.

When do you flip the inequality sign?

• When you add a positive number to both sides of the inequality.

• When you multiply or divide both sides of the inequality by a negative number.

• When you subtract a negative number from both sides of the inequality.

• When you multiply both sides of the inequality by a positive number.

What is a two-step inequality?

• A type of inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

• An inequality that can be solved in one step using only addition.

• A mathematical expression that compares two values without any operations involved.

• An equation that requires two steps to solve for a variable.

What does the symbol '≥' mean?

• 'Less than'

• 'Greater than'

• 'Greater than or equal to'

• 'Equal to'

What is the importance of checking your solution in inequalities?

• It helps to find the maximum value of the inequality.

• It ensures that the values you found satisfy the original inequality, confirming that your solution is correct.

• It allows you to ignore any extraneous solutions.

• It provides a way to visualize the inequality on a graph.

Solve the inequality: @@2x + 6 ≥ -8@@

• @@x ≥ -7@@

• @@x ≥ -6@@

• @@x ≤ -7@@

• @@x ≤ -6@@

What is the difference between an equation and an inequality?

• An equation shows the relationship between expressions that are not necessarily equal, while an inequality states that two expressions are equal.

• An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.

• An equation is a mathematical statement that contains a variable, while an inequality does not.

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

Solve the inequality: @@2 + 3x ≤ 20@@

• @@x ≤ 6@@

• @@x < 6@@

• @@x ≥ 6@@

• @@x > 6@@