Inequalities 1 and 2 step SRE

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you solve the inequality 8x ≥ -32?

Back

To solve 8x ≥ -32, divide both sides by 8 to get x ≥ -4.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

To solve 4x - 2 ≤ -22, add 2 to both sides to get 4x ≤ -20, then divide by 4 to find x ≤ -5.

Front

What is the solution to the inequality 6 - 2h > 30?

Back

To solve 6 - 2h > 30, subtract 6 from both sides to get -2h > 24, then divide by -2 (remember to flip the inequality) to find h < -12.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

How do you graph the inequality x > -28?

Back

To graph x > -28, draw a number line, place an open circle at -28, and shade to the right to indicate all numbers greater than -28.

Front

What is the difference between '≤' and '<'?

Back

'≤' includes the number in the solution set (less than or equal to), while '<' does not include the number (strictly less than).