2 Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality -2x ≤ 14?

Back

To solve -2x ≤ 14, divide both sides by -2, which reverses the inequality sign: x ≥ -7.

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: x ≤ -5.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

To solve -4x + 14 ≤ 54, subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (reversing the inequality): x ≥ -10.

Front

What is the solution to the inequality -5m < 10?

Back

To solve -5m < 10, divide both sides by -5 (reversing the inequality): m > -2.

Front

Which of the following is NOT a solution for the inequality 17 ≥ w?

Back

w = 18 is NOT a valid solution because it is greater than 17.

Front

If x ≤ 7, what can we say about the value of x?

Back

If x ≤ 7, it means x can be any number less than or equal to 7.

Front

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

Back

The first step is usually to isolate the term with the variable by adding or subtracting a constant from both sides.