Solving Linear Inequalities

This video tutorial covers solving inequalities using inverse operations, including addition, subtraction, multiplication, and division. It demonstrates solving various inequality problems and applies these concepts to real-world scenarios. The tutorial also explains how to recognize when to use equations versus inequalities based on keywords.

What is the solution to the inequality n + 7 < -3?

• n > -10

• n > 10

• n < -10

• n < 10

When solving the inequality 5p ≥ -30, what is the value of p?

• p ≤ 6

• p ≤ -6

• p ≥ -6

• p ≥ 6

In the inequality 12 ≥ -3b, what is the correct solution for b?

• b ≥ -4

• b ≤ -4

• b ≤ 4

• b ≥ 4

How many more points does Jose need to score to achieve at least 650 points?

• 68

• 88

• 78

• 98

If Laney descends at 20 feet per minute, how many minutes can she continue without exceeding 100 feet below the surface?

• 4 minutes

• 5 minutes

• 6 minutes

• 3 minutes

What is the solution to the inequality 2s + 3 > 15?

• s > 6

• s < 6

• s > 9

• s < 9

For the inequality -2p + 12 > 8, what is the correct value of p?

• p < 2

• p > 2

• p < -2

• p > -2

What is the solution to the inequality z/4 + 22 ≤ 38?

• z ≤ 64

• z ≥ 64

• z ≤ 16

• z ≥ 16

In the inequality -6w - 18 ≥ 36, what is the correct solution for w?

• w ≤ 9

• w ≥ -9

• w ≤ -9

• w ≥ 9

Which keyword indicates that a situation should be represented by an inequality?

• Equal to

• Greater than

• Identical to

• Exactly