A1 Flashcard 4.4,5.1,5.2 2024-2025

Front

What does the inequality r ≥ -6 represent on a number line?

Back

It represents all numbers greater than or equal to -6, including -6 itself.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What is the solution to the inequality -2x < 48?

Back

Divide both sides by -2 (flip the inequality): x > -24.

Front

Which number line represents the solution to the inequality 5w ≥ 30?

Back

The number line that includes 6 and all numbers greater than 6.

Front

How do you solve the inequality \( \frac{h}{2} < -5 \)?

Back

Multiply both sides by 2: h < -10.

Front

What is the general form of a linear inequality?

Back

It is expressed as ax + b < c or ax + b > c, where a, b, and c are constants.

Front

What does it mean to graph an inequality?

Back

It means to represent the solution set of the inequality on a number line or coordinate plane.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do.

Front

How do you represent the solution set of x > 3 on a number line?

Back

Draw an open circle at 3 and shade to the right.

Front

What is the solution to the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.