Two-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. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.

Front

Solve the inequality: -3x - 4 < 5

Back

x > -3

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value can be either greater than or equal to a certain number.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution set, used for inequalities with < or >.

Front

When graphing the inequality a ≥ 11, how would the graph look?

Back

The graph would have a closed dot at 11 and a line extending to the right, indicating all values greater than or equal to 11.

Front

Is 7 a solution to the inequality d + 2 < 6?

Back

No, because if you substitute 7 for d, you get 7 + 2 = 9, which is not less than 6.

Front

What is the solution to the inequality 6 > x?

Back

x < 6

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

Solve the inequality: 2x + 3 > 11

Back

x > 4

Front

What is the first step to solve the inequality 5x - 2 ≤ 8?

Back

Add 2 to both sides to get 5x ≤ 10.