Solving Single Inequalities Effectively

This video tutorial covers solving inequalities, starting with simple examples and progressing to more complex ones. It emphasizes the importance of handling inequalities carefully, especially when multiplying or dividing by negative numbers, which requires reversing the inequality sign. The tutorial also compares solving inequalities to solving equations, highlighting the similarities and differences. By the end, viewers should understand how to solve various types of inequalities and the rules for manipulating them.

What is the first step to isolate 'x' in the inequality 2x - 5 < 3?

• Multiply both sides by 2

• Divide both sides by 2

• Add 5 to both sides

• Subtract 5 from both sides

After adding 5 to both sides of 2x - 5 < 3, what is the new inequality?

• x < 4

• 2x < 8

• 2x < -2

• 2x > 8

What happens to the inequality sign when you multiply both sides of an inequality by a negative number?

• It reverses

• It remains the same

• It disappears

• It becomes an equality

If you multiply -5 and 2 by -3, which inequality correctly represents the relationship?

• -15 > -6

• -15 < -6

• 15 > 6

• 15 < 6

How do you solve the inequality 5(x + 3) ≥ 40?

• Subtract 3 from both sides

• Divide both sides by 5

• Expand the bracket and subtract 15

• None of the above

What is the solution to the inequality 5x + 15 ≥ 40 after subtracting 15 from both sides?

• 5x ≥ 25

• x ≤ 5

• x ≥ 25

• x ≥ 5

In the inequality -2x < 18, what is the correct step to isolate 'x'?

• Subtract 2 from both sides

• Divide both sides by -2

• Multiply both sides by -2

• Add 2 to both sides

What is the result of dividing both sides of -2x < 8 by -2?

• x > 4

• x < 4

• x > -4

• x < -4

When solving 3x + 2 ≥ x + 11, what is the first step to isolate 'x'?

• Subtract 2 from both sides

• Add x to both sides

• Add 11 to both sides

• Subtract x from both sides

After simplifying the inequality 3x + 2 ≥ x + 11, what is the inequality involving 'x'?

• x ≤ 4.5

• x ≥ 4.5

• 2x + 2 ≥ 11

• 2x ≥ 9