Inequalities

Front

What does the inequality x > 6 represent on a number line?

Back

It represents all numbers greater than 6, with an open circle at 6 and a line extending to the right.

Front

How do you solve the inequality x - 6 > 9?

Back

Add 6 to both sides to get x > 15.

Front

What is the solution to the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides to get s ≥ -34.

Front

How do you solve the inequality 16 + x ≥ 14?

Back

Subtract 16 from both sides to get x ≥ -2.

Front

What inequality represents the goal of selling at least 50 boxes of candy?

Back

The inequality is x ≥ 50.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (e.g., >, <) do not include the boundary point, while non-strict inequalities (e.g., ≥, ≤) do include the boundary point.

Front

How can you graph the inequality x < 4?

Back

Draw a number line, place an open circle at 4, and shade to the left.

Front

What does the inequality 3x + 2 < 11 mean?

Back

It means that when you solve for x, the values must be less than 3.

Front

How do you interpret the solution of an inequality?

Back

The solution represents a range of values that satisfy the inequality.

Front

What is the solution set for the inequality -2x + 4 ≥ 0?

Back

The solution set is x ≤ 2.