3-1 & 3-2 Solving inequalities Flashcard

Front

What does the inequality x ≤ 2 represent on a number line?

Back

It represents all numbers less than or equal to 2, including 2 itself.

Front

How do you interpret the inequality 6 > x?

Back

It means that x is any number less than 6.

Front

Solve the inequality -5i ≥ 30. What is the value of i?

Back

i ≤ -6.

Front

Match the inequality 11 ≤ a with its graph representation.

Back

The graph will include all numbers greater than or equal to 11.

Front

If the inequality is 5 ≥ x, will the dot at x = 5 be colored in?

Back

Yes, because the inequality includes the equal sign.

Front

What is the solution set for the inequality x < 3?

Back

All numbers less than 3.

Front

How do you express the inequality x > 4 in interval notation?

Back

(4, ∞) - meaning all numbers greater than 4.

Front

What does the inequality x ≤ -2 indicate about the value of x?

Back

x can be any number less than or equal to -2.

Front

If x + 3 < 7, what is the solution for x?

Back

x < 4.

Front

What is the graphical representation of the inequality x ≥ 1?

Back

A solid dot at 1 and a line extending to the right.