6th Grade Inequalities on the Number Line Quiz: 10 Questions with Explanations

A An open circle at 2 with a ray to the rightB A closed circle at 2 with a ray to the rightC An open circle at 2 with a ray to the leftD A closed circle at 2 with a ray to the left

Greater than does not include 2, so the circle is open, and numbers greater than 2 are to the right.

A 8B 7.1C 7D 70

7 is less than or equal to 7. The others are greater.

A \(x > 10\)B \(x \ge 10\)C \(x \le 10\)D \(x < 10\)

At least 10 includes 10 and anything greater.

A \(x \le -3\)B \(x < -3\)C \(x \ge -3\)D \(x > -3\)

Closed circle means -3 is included, and the ray goes left.

A Infinitely manyB Exactly 7C Exactly 1D None

Every number 7 or greater works, including decimals.

A \(w \ge 200\)B \(w < 200\)C \(w \le 200\)D \(w > 200\)

Maximum means 200 is allowed and so is anything less.

A Yes, because 6 > 3B No, because \(9 > 9\) is falseC Yes, because \(6 + 3 = 9\)D No, because 6 < 3

Substitute: \(6 + 3 = 9\), and 9 is not greater than 9.

A A closed circle at 4 with a ray to the leftB An open circle at 4 with a ray to the leftC An open circle at 4 with a ray to the rightD A closed circle at 4 with a ray to the right

Less than excludes 4 and points left.

A \(-3\)B \(-4\)C \(-10\)D \(-2\)

-2 is to the right of -3. -3 is not greater than itself.

A A child 42 inches tall cannot rideB Only children over 42 inches can rideC A child 41 inches tall can rideD A child 42 inches tall can ride

At least 42 includes 42.