Understanding and Graphing Inequalities

In this video, Mr. J explains how to solve and graph addition and subtraction inequalities. The process involves isolating the variable using inverse operations, similar to solving equations. The video covers examples of both addition and subtraction inequalities, demonstrating how to solve them and graph the solutions on a number line. It also includes checking solutions to ensure correctness.

What is the first step in solving an inequality?

• Add a constant to both sides

• Isolate the variable using inverse operations

• Multiply both sides by zero

• Divide both sides by the variable

If x + 12 > 18, what is the value of x?

• x < 6

• x = 6

• x ≤ 6

• x > 6

How do you represent x > 6 on a number line?

• An open circle at 6 with an arrow to the left

• A filled circle at 6 with an arrow to the right

• An open circle at 6 with an arrow to the right

• A filled circle at 6 with an arrow to the left

For the inequality a + 9 ≤ -12, what is the solution for a?

• a ≥ -21

• a ≤ -21

• a ≥ -3

• a ≤ -3

How is a ≤ -12 represented on a number line?

• A filled circle at -12 with an arrow to the right

• An open circle at -12 with an arrow to the left

• An open circle at -12 with an arrow to the right

• A filled circle at -12 with an arrow to the left

What is the solution for g in the inequality g - 7 ≤ 9?

• g ≤ 2

• g ≥ 16

• g ≥ 2

• g ≤ 16

How do you graph g ≤ 9 on a number line?

• An open circle at 9 with an arrow to the left

• A filled circle at 9 with an arrow to the left

• An open circle at 9 with an arrow to the right

• A filled circle at 9 with an arrow to the right

In the inequality -15 > y - 1, what is the value of y?

• y ≤ -4

• y = -4

• y > -4

• y < -4

How is y < -4 represented on a number line?

• An open circle at -4 with an arrow to the left

• An open circle at -4 with an arrow to the right

• A filled circle at -4 with an arrow to the left

• A filled circle at -4 with an arrow to the right

What is the inverse operation of subtraction?

• Multiplication

• Division

• Subtraction

• Addition