How to Simplify Inequalities

The video tutorial explains how to solve inequalities by treating them like equations, except when dealing with absolute values or multiplying/dividing by a negative number. The instructor demonstrates simplifying an inequality by distributing terms, moving variables to one side, and constants to the other. The solution is verified by substituting values to ensure correctness.

What is the first step in solving the inequality 6(X + 2) > 7(X - 5)?

• Multiply both sides by 2

• Subtract 2 from both sides

• Distribute the numbers outside the parentheses

• Add 5 to both sides

When simplifying the expression 6(X + 2), what is the result of distributing 6?

• 6X + 12

• 6X + 2

• 12X + 6

• 6X - 12

After simplifying the inequality, what expression do we get before solving for X?

• 12 > X - 35

• 12 < X + 35

• 12 < X - 35

• 12 > X + 35

What is the final solution to the inequality 6(X + 2) > 7(X - 5)?

• X > 47

• X ≥ 47

• X < 47

• X = 47

How can you verify the solution to the inequality 47 > X?

• By substituting X = 0

• By substituting a value less than 47

• By substituting X = 47

• By substituting a value greater than 47