One and Two step inequalities FLASHCARD

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides: 4x ≤ -20, then divide by 4: x ≤ -5.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40, then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

Is x=15 a solution for the inequality x + 9 > 21?

Back

Yes, because 15 + 9 = 24, which is greater than 21.

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, such as x + 3 > 5.

Front

What is a two-step inequality?

Back

A two-step inequality requires two steps to solve, such as 2x - 4 < 10.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.

Front

What does it mean if an inequality has an open circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 3).