Equations and Inequalities Review

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 + 9 ≤ -23?

Back

First, subtract 9 from both sides: -4x ≤ -32. Then, divide by -4 (remember to flip the inequality): x ≥ 8.

Front

What is the solution set for the inequality x < -4?

Back

The solution set includes all numbers less than -4.

Front

How do you express the solution for the inequality -2 ≤ x ≤ 5?

Back

The solution includes all numbers between -2 and 5, including -2 and 5.

Front

What does the graph of x ≥ 2 and x ≤ 4 look like?

Back

It is a line segment on the number line from 2 to 4, including both endpoints.

Front

What is the solution for the inequality x > 2 or x ≤ -3?

Back

The solution includes all numbers greater than 2 and all numbers less than or equal to -3.

Front

How do you represent the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.

Front

What is the difference between 'and' and 'or' in inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.