Solving Linear Inequalities

The video tutorial by Shaun Gannon covers solving one-step inequalities using addition and subtraction. It demonstrates how to isolate the variable and graph the solution on a number line. The tutorial includes various examples, such as solving inequalities like X + 8 ≥ 18 and X - 1 > 6, and provides step-by-step instructions for each problem. The video emphasizes understanding the inequality symbols and correctly shading the number line to represent the solution set.

What is the first step in solving the inequality X + 8 ≥ 18?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

After solving X + 8 ≥ 18, what is the value of X?

• X > 10

• X < 10

• X ≤ 10

• X ≥ 10

How do you represent the solution of X - 1 > 6 on a number line?

• Closed circle at 7, shade to the right

• Open circle at 7, shade to the right

• Closed circle at 7, shade to the left

• Open circle at 7, shade to the left

What is the solution to the inequality -7 + X ≥ -8?

• X ≥ -1

• X ≤ -1

• X > -1

• X < -1

In the inequality X - 1 ≤ 3, what is the value of X after solving?

• X < 4

• X ≥ 4

• X ≤ 4

• X > 4

How is the solution to n - 2 ≤ 4 represented on a number line?

• Closed circle at 6, shade to the right

• Open circle at 6, shade to the right

• Closed circle at 6, shade to the left

• Open circle at 6, shade to the left

What is the first step in solving B - 1 < 3?

• Divide both sides by 1

• Multiply both sides by 1

• Subtract 1 from both sides

• Add 1 to both sides

What is the solution to the inequality -18 + n < -7?

• n < 11

• n ≥ 11

• n ≤ 11

• n > 11

How do you solve the inequality R + 13 < 9?

• Add 13 to both sides

• Subtract 13 from both sides

• Multiply both sides by 13

• Divide both sides by 13

What is the solution to n - 4 ≥ 13?

• n ≥ 17

• n ≤ 17

• n < 17

• n > 17