Inequalities

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all values of x that are less than -4, which is shown as a line extending to the left of -4 with an open circle at -4.

Tags

CCSS.6.EE.B.8

Front

How do you represent the inequality a ≥ 11 on a graph?

Back

It is represented by a solid line starting at 11 and extending to the right, indicating that 11 is included in the solution set.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality k/12 ≤ 7?

Back

The solution is k ≤ 84, found by multiplying both sides of the inequality by 12.

Tags

CCSS.6.EE.B.8

Front

What does the inequality x ≥ -5 indicate on a number line?

Back

It indicates all values of x that are greater than or equal to -5, represented by a solid circle at -5 and a line extending to the right.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8 to get x < 6.

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 > 3?

Back

You would draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Tags

CCSS.6.EE.B.8

Front

What does the inequality -2 < x < 4 mean?

Back

It means x is greater than -2 and less than 4, represented by an open interval on the number line between -2 and 4.

Front

How do you solve the compound inequality 1 < 2x + 3 < 7?

Back

First, subtract 3 from all parts to get -2 < 2x < 4, then divide by 2 to find -1 < x < 2.

Front

What is the graphical representation of the inequality x ≤ 0?

Back

It is represented by a solid circle at 0 and a line extending to the left, indicating all values less than or equal to 0.

Tags

CCSS.6.EE.B.8