Solving one step 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'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8 to get x < 6.

Front

What is the solution to the inequality x + 5 > 7?

Back

Subtract 5 from both sides to get x > 2.

Front

What does the solution set of an inequality represent on a number line?

Back

It represents all the values that satisfy the inequality.

Front

How do you graph the solution to the inequality x - 3 > -3?

Back

You would plot an open circle at 0 on the number line and shade to the right.

Front

What is the first step in solving the inequality -11w > -11?

Back

Divide both sides by -11, remembering to reverse the inequality sign, resulting in w < 1.

Front

What is the importance of reversing the inequality sign when dividing by a negative number?

Back

Reversing the inequality sign ensures that the relationship between the two sides of the inequality remains true.

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy a given inequality.