Solving One-Step Adding/Subtracting Inequalities

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, y < 10 means y is less than 10.

Front

How do you solve the inequality 15 > -5 + z?

Back

To solve, add 5 to both sides: 20 > z, or z < 20.

Front

What does it mean if an inequality is true for a given value?

Back

It means that when you substitute the value into the inequality, the statement holds true.

Front

How do you check if x + 9 > 21 is true when x = 15?

Back

Substitute 15 for x: 15 + 9 > 21, which simplifies to 24 > 21, so it is true.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, h ≤ 9 means h is less than or equal to 9.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

What is the first step to solve the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: 9 ≤ h, or h ≥ 9.

Front

What operation do you perform to both sides of c - 12 = 32 to solve for c?

Back

Add 12 to both sides: c = 32 + 12.