Solve Inequalities

Front

What is an inequality?

Back

An inequality is 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.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality -3x ≤ 18?

Back

To solve -3x ≤ 18, divide both sides by -3, remembering to reverse the inequality sign: x ≥ -6.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

To solve x + 5 ≤ 13, subtract 5 from both sides: x ≤ 8.

Front

What does the inequality k < 3 indicate about the value of k?

Back

The inequality k < 3 indicates that k can take any value less than 3.

Front

How do you represent the solution of the inequality 2 > p on a number line?

Back

The solution 2 > p is represented by an open circle at 2 and a line extending to the left, indicating all values less than 2.

Front

What is the solution to the inequality 4h < 8?

Back

To solve 4h < 8, divide both sides by 4: h < 2.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (>, <) do not include the boundary value, while non-strict inequalities (≥, ≤) do include the boundary value.

Front

How do you graph the inequality x > 5?

Back

To graph x > 5, draw an open circle at 5 and shade the region to the right, indicating all values greater than 5.

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all possible values that satisfy the inequality.