Understanding Compound Inequalities

What does the connector "AND" mean in a compound inequality?

• Only one condition must be true

• Either condition can be true

• The solution is always all real numbers

• Both conditions must be true at the same time

What does a closed circle on a number line mean?

• The value is included

• The solution is infinite

• The value is not included

• The inequality is strict

How would "at least -3" be represented in an inequality?

• x < -3

• x > -3

• x ≤ -3

• x ≥ -3

Which compound inequality represents: x - 3 < 4 AND x + 2 > -1?

• x < -3 OR x > 7

• x ≥ -3 AND x ≤ 7

• x < 7 OR x > -3

• x > -3 AND x < 7

What does the connector "OR" mean in a compound inequality?

• At least one condition is true

• The solution is always between two numbers

• Both conditions must be true

• Neither condition can be true

What does an open circle on a number line mean?

• The value is excluded

• The value is included

• The inequality is equal

• The solution is undefined

Which inequality includes all real numbers?

• x > -3 OR x < 2

• x ≥ -3 OR x > 7

• x ≥ -3 OR x < -3

• x < -3 AND x > 7

What is x ≥ -2 AND x ≤ 5 written in simplest form?

• -2 ≤ x ≤ 5

• x < -2 OR x > 5

• x ≤ -2 OR x ≥ 5

• -2 ≥ x ≤ 5

A student must read more than 20 pages and fewer than 50 pages. Which compound inequality represents this situation?

• x > 20 AND x < 50

• x ≥ 20 OR x ≤ 50

• x < 20 AND x > 50

• x ≤ 20 OR x ≥ 50

A temperature sensor triggers an alert if it drops below -5°C or rises above 40°C. Which inequality describes the range?

• A. x < -5 OR x > 40

• B. x ≤ -5 OR x ≥ 40

• C. -5 < x < 40

• D. x ≥ -5 AND x ≤ 40