Solving Inequalities Flashcard 6.1 - 3

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

n ≥ 20

Front

What inequality does the number line graph with a closed circle at -5 and shading to the right represent?

Back

x ≥ -5

Front

What inequality is represented by a number line graph with an open circle at -3 and shading to the left?

Back

x < -3

Front

How do you solve the inequality 2p + 5 ≥ 3p - 10?

Back

Subtract 2p from both sides to get 5 ≥ p - 10, then add 10 to both sides to find p ≤ 15.

Front

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

Back

The number line with a closed circle at 6 and shading to the right (C).

Front

What is the first step in solving the inequality 3x - 4 < 5?

Back

Add 4 to both sides to isolate the term with x.

Front

What does it mean when an inequality has a closed circle on a number line?

Back

It indicates that the number is included in the solution set (≥ or ≤).

Front

What does it mean when an inequality has an open circle on a number line?

Back

It indicates that the number is not included in the solution set (< or >).

Front

How do you graph the solution to the inequality x > 2?

Back

Draw an open circle at 2 and shade to the right.

Front

What is the solution to the inequality -2x + 3 ≤ 7?

Back

x ≥ -2.