Solving and Graphing Compound Inequalities

What is the term used to describe the overlap in 'and' problems?

• Overlap

• Combination

• Intersection

• Union

In an 'and' problem, if the graphs do not overlap, what is the solution?

• No solution

• Only negative numbers

• Only positive numbers

• All real numbers

How do you represent the solution of x > 3 and x < 1 on a number line?

• Closed circle at 3 going right, closed circle at 1 going left

• Open circle at 3 going right, open circle at 1 going left

• Open circle at 3 going left, closed circle at 1 going right

• Open circle at 3 going right, closed circle at 1 going left

What is the term used to describe 'or' problems?

• Overlap

• Combination

• Union

• Intersection

In 'or' problems, where is the solution found?

• Only on the right side of the number line

• Only where the graphs overlap

• Anywhere there is an arrow

• Only on the left side of the number line

What happens when the arrows in 'or' problems face each other?

• All real numbers

• Only positive numbers

• No solution

• Only negative numbers

When solving compound inequalities, what is the first step?

• Divide by the coefficient

• Add or subtract to isolate the variable

• Multiply by the coefficient

• Graph the solution

What must you remember to do when dividing by a negative number in inequalities?

• Flip the inequality sign

• Keep the inequality the same

• Subtract the negative number from both sides

• Add the negative number to both sides

What is the solution for x > 2 or x < -4?

• x is greater than 2 or less than -4

• x is between -4 and 2

• x is less than 2 or greater than -4

• x is between -2 and 4

What occurs when an 'and' problem does not overlap?

• Only negative numbers

• Only positive numbers

• No solution

• All real numbers