Solving Inequalities Practice Flashcard

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the value on the left is greater than or equal to the value on the right.

Front

When graphing the inequality 5 ≥ x, what type of dot is used on the number line?

Back

A closed dot is used because the inequality includes 'greater than or equal to'.

Front

What type of dot is used when graphing inequalities with '<' or '>'?

Back

An open dot is used.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

First, subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to get x ≥ -10.

Front

What does the inequality d > f mean?

Back

It means that the value of d is greater than the value of f.

Front

What is the first step in solving the inequality 3x - 5 < 10?

Back

Add 5 to both sides to isolate the term with x.

Front

How do you represent the solution to the inequality x < 4 on a number line?

Back

Draw an open dot at 4 and shade to the left.

Front

What is the difference between '≥' and '>' in inequalities?

Back

'≥' includes the value itself, while '>' does not.

Front

If you have the inequality x + 2 > 5, how do you solve for x?

Back

Subtract 2 from both sides to get x > 3.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality, often resulting from contradictory statements.