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

How do you solve the inequality: 3x + 4 > 13?

Back

Subtract 4 from both sides: 3x > 9. Then divide by 3: x > 3.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value can be either less than or exactly equal to another value.

Front

Solve the inequality: -4x + 14 ≤ 54.

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

What is the solution to the inequality: 10 < 3x + 19?

Back

Subtract 19 from both sides: -9 < 3x. Then divide by 3: x > -3.

Front

How do you interpret the solution x > 1?

Back

It means that x can take any value greater than 1, but not equal to 1.

Front

Solve the inequality: -5x - 7 < 28.

Back

Add 7 to both sides: -5x < 35. Then divide by -5 (flip the inequality): x > -7.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. It indicates that one value is larger than another.

Front

Solve the inequality: 16 ≥ 13 - 3x.

Back

Subtract 13 from both sides: 3 ≥ -3x. Then divide by -3 (flip the inequality): x ≥ -1.

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 performing addition or subtraction.