Exploring Day 2 of LT 1F

The video tutorial covers solving linear inequalities and graphing their solutions. It begins with an introduction to the learning targets and types of inequalities. The teacher explains methods for solving inequalities, including distribution and combining like terms. Several examples are provided, each demonstrating different techniques and graphing solutions. The video concludes with practice problems for students to reinforce their understanding.

What is the main focus of today's lesson?

• Solving systems of equations

• Solving quadratic equations

• Solving linear inequalities and graphing their solutions

• Graphing quadratic functions

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

In the example where 5 is greater than 4, what happens when you divide both sides by -1?

• The inequality sign flips

• The inequality remains the same

• The inequality becomes false

• The numbers become positive

What is the first step in solving the inequality -2x + 4 ≥ 12?

• Multiply both sides by -2

• Divide both sides by -2

• Add 4 to both sides

• Subtract 4 from both sides

After isolating the variable in the inequality -2x ≥ 8, what is the next step?

• Add 2 to both sides

• Divide both sides by -2

• Subtract 2 from both sides

• Multiply both sides by -2

When graphing the solution x ≤ -4 on a number line, what should you do at -4?

• Draw an open circle

• Shade to the left

• Draw a closed circle

• Shade to the right

In the inequality -3(x - 2) < -12, what is the first step?

• Add 2 to both sides

• Divide both sides by -3

• Distribute -3

• Subtract 2 from both sides

What is the solution to the inequality -3x + 6 < -12 after distributing and combining like terms?

• x > -6

• x < 6

• x < -6

• x > 6

When solving the inequality 3 ≤ 5n - 2n, what should you do first?

• Divide both sides by 3

• Combine like terms

• Subtract 2n from both sides

• Add 2n to both sides

In the final example, what is the solution to the inequality -24x - 39 > -111?

• x ≥ 3

• x ≤ 3

• x > 3

• x < 3