Understanding Inequalities and Notation

This video tutorial explains how to solve inequalities with negative coefficients. It covers distributing and combining like terms, solving the inequality, and the importance of switching the sign when dividing by a negative. The video also demonstrates graphing solutions and checking them with test values, and discusses different notations for representing solutions, such as set and interval notation.

What is the main focus of this video tutorial?

• Solving equations with positive coefficients

• Graphing linear equations

• Solving quadratic equations

• Understanding inequalities with negative coefficients

What is the first step in solving the inequality presented in the video?

• Combining like terms

• Distributing the negative number

• Graphing the solution

• Checking the solution

When distributing a negative number, what happens to the signs of the terms inside the parentheses?

• They remain the same

• They become positive

• They change to the opposite sign

• They double in value

What is the first step in solving an inequality with a negative coefficient?

• Subtract the same number from both sides

• Graph the inequality

• Add the same number to both sides

• Distribute the negative coefficient

What is the result of distributing -3 into the expression (2 - 2)?

• -6

• 6

• 0

• -12

What is the result of combining the terms -6 and -5x?

• -11x

• -6x

• -1x

• -5x

What is the next step after distributing the negative coefficient?

• Change the inequality sign

• Check the solution

• Combine like terms

• Graph the solution

What is the purpose of combining like terms in an inequality?

• To check the solution

• To simplify the inequality

• To graph the solution

• To change the inequality sign

What is the goal when solving an inequality?

• To graph the solution

• To distribute the coefficients

• To isolate the variable

• To combine like terms

What is the result of adding 6 to both sides of the inequality -11x ≤ 88?

• -11x ≤ 82

• -11x ≤ 94

• -11x ≤ 88

• -11x ≤ 100