solving one step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, 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, x < 3 means x is less than 3.

Front

How do you solve the inequality 26 < p + 28?

Back

Subtract 28 from both sides: 26 - 28 < p, which simplifies to -2 < p or p > -2.

Front

What is the solution to the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -8 + 4, which simplifies to y < -4.

Front

How do you check if a value satisfies the inequality 7x > 21 when x = 4?

Back

Substitute 4 into the inequality: 7(4) > 21, which simplifies to 28 > 21, which is true.

Front

What does the solution x ≤ 6 represent?

Back

It means that x can be any number less than or equal to 6.

Front

How do you write an inequality for the statement: 'You must be at least 48 inches tall'?

Back

The inequality is h ≥ 48, meaning height h must be greater than or equal to 48 inches.

Front

What is the first step in solving a one-step inequality?

Back

Identify the operation being performed on the variable and perform the inverse operation to isolate the variable.

Front

What does the solution y < -12 indicate?

Back

It indicates that y can take any value less than -12.