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.

Tags

CCSS.6.EE.B.8

Front

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

Back

Add 6 to both sides to get x > 15.

Tags

CCSS.7.EE.B.4B

Front

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

Back

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

Tags

CCSS.7.EE.B.4B

Front

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

Back

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

Tags

CCSS.7.EE.B.4B

Front

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

Back

The inequality is x ≥ 50.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.7.EE.B.4B