Exploring One and Two Step Inequalities

This video tutorial covers one and two-step inequalities, explaining the symbols used and how to graph them on a number line. It also demonstrates how to write inequalities from graphs and solve them using similar steps to solving equations, with an added step of flipping the inequality sign when multiplying or dividing by a negative number.

What is the main objective of today's lesson?

• To solve and graph quadratic equations

• To solve and graph one and two step inequalities

• To solve and graph one and two step equations

• To solve and graph linear equations

What does the symbol '≤' represent?

• Greater than

• Greater than or equal to

• Less than or equal to

• Less than

When graphing, what type of circle is used for 'x < 3'?

• Closed circle

• Shaded circle

• Dotted circle

• Open circle

If 'x > -2', which direction should the arrow point on the graph?

• To the left

• Upwards

• To the right

• Downwards

What should you do to the inequality sign when you multiply or divide both sides by a negative number?

• Remove it

• Flip it

• Keep it the same

• Double it

Solve the inequality: 3x + 1 ≤ 10. What is the value of x?

• x ≤ 5

• x ≤ 4

• x ≤ 2

• x ≤ 3

In the inequality -5x - 12 ≥ 8, what happens to the inequality sign when you divide by -5?

• It is removed

• It stays the same

• It flips

• It is doubled

What is the solution to the inequality x/4 < 9?

• x < 36

• x < 45

• x < 18

• x < 27

For the inequality x/(-2) + 8 < -1, what is the value of x after solving?

• x < -18

• x > 18

• x < 18

• x > -18

In the special case where you need to multiply both sides by a negative number, what must you remember to do?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same