Inequalities and Equations

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, or not equal to the other.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the equation 5 + 4x = 25 for x?

Back

Subtract 5 from both sides to get 4x = 20, then divide by 4 to find x = 5.

Front

What is the first step to solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides to isolate the term with t.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

The solution is x ≤ 13.

Front

How do you express 'twice a number x plus 8 is greater than 12' as an inequality?

Back

The expression is 2x + 8 > 12.

Front

What does it mean if 7x ≤ 10?

Back

It means that the product of 7 and x is less than or equal to 10.

Front

What is the process to isolate x in the equation 5 + 4x = 25?

Back

Subtract 5 from both sides and then divide by 4.

Front

What is the solution to the equation 7x ≤ 10?

Back

x ≤ 10/7 or approximately x ≤ 1.43.