One and Two step inequalities FLASHCARD

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve a one-step inequality?

Back

To solve a one-step inequality, isolate the variable by performing the same operation on both sides of the inequality. For example, if the inequality is x + 3 < 7, subtract 3 from both sides to get x < 4.

Front

What is the first step in solving the inequality 2x + 3 > 11?

Back

The first step is to subtract 3 from both sides, resulting in 2x > 8.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: 4y ≤ 20. What is y?

Back

y ≤ 5.

Front

What is the solution to the inequality -3x ≤ 18?

Back

x ≥ -6.

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw a number line, place an open circle on 5, and shade to the left to indicate all numbers less than 5.

Front

What is the solution to the inequality 32 ≥ 16p?

Back

p ≤ 2.