Solving One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve a one-step inequality?

Back

To solve a one-step inequality, isolate the variable on one side of the inequality by performing the same operation on both sides.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

What does the symbol '>' represent?

Back

The symbol '>' represents 'greater than'.

Front

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

Back

To graph the solution of an inequality on a number line, use an open circle for '>' or '<' and a closed circle for '≥' or '≤', then shade the appropriate direction.

Front

What is the first step in solving the inequality 77 ≤ 5 + 8n?

Back

The first step is to subtract 5 from both sides of the inequality.

Front

If you have the inequality -y/7 ≤ -8, what is the first step to isolate y?

Back

Multiply both sides of the inequality by -7, remembering to reverse the inequality sign.

Front

What does the solution x - 3 > -3 imply about x?

Back

It implies that x is greater than 0.

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.