Solving Inequalities

Front

What symbol is used for an open dot when graphing an inequality?

Back

<, >

Front

What symbols are used for a closed dot when graphing an inequality?

Back

≤, ≥

Front

How do you represent the inequality '11 ≤ a' on a number line?

Back

Graph with a closed dot at 11 and a line extending to the right.

Front

What is the solution to the inequality -9x + 7 ≥ 25?

Back

x ≤ -2

Front

How do you solve the inequality x + 5 > 7?

Back

x > 2

Front

What does it mean when an inequality has no solution?

Back

It means there are no values that satisfy the inequality.

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 graph the inequality x < 3?

Back

Graph with an open dot at 3 and a line extending to the left.

Front

What is the solution set for the inequality 2x - 4 < 6?

Back

x < 5

Front

How do you represent the inequality x ≥ -1 on a number line?

Back

Graph with a closed dot at -1 and a line extending to the right.