One step inequalities add and subtraction

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

How do you solve the inequality y + 5 ≥ 2?

Back

Subtract 5 from both sides: y ≥ 2 - 5, so y ≥ -3.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used to indicate that 6 is not included in the solution.

Front

What is the first step to solve m - 9 ≤ 20?

Back

Add 9 to both sides: m ≤ 20 + 9, so m ≤ 29.

Front

Give two examples of numbers that satisfy the inequality x < 8.

Back

Examples: 0.8 and 5.9.

Front

How do you check if a value satisfies the inequality x + 9 > 21 when x = 15?

Back

Substitute 15 into the inequality: 15 + 9 > 21, which simplifies to 24 > 21, so it is true.

Front

What does the symbol '<' indicate in an inequality?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

What is the solution set for the inequality x ≥ 4?

Back

The solution set includes all numbers greater than or equal to 4.

Front

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

Back

Use a closed circle for '≥' or '≤' and an open circle for '<' or '>' with a line extending in the direction of the solution.