Inequalities And Absolute Values

Question 1

What happens when you multiply or divide an inequality by a negative number?

Answer 1

You must reverse the inequality orientation

Question 2

What must be true to add inequalities?

Answer 2

The sign of each inequality must be facing the same direction

Question 3

Can you divide or multiply an inequality by an unknown variable?

Answer 3

No, because you don’t know if the unknown variable is positive or negative and what it would do to the inequality sign

Question 4

How can we find the max or min value of xy when we have a< x<b and C<y<d?

Answer 4

You evaluate ac, ad, bc, bd. The largest and smallest multiplication will be the answer to the max or min of xy

Question 5

When solving for an equation with an absolute value what do you do?

Answer 5

You solve the equation twice, once for when the number/ variable within the absolute value is positive and once for when its negative

Question 6

What is the sum of l a + bl equal to?

Answer 6

a +b| =|a| +|b|

Question 7

What must be the for |a+b|=|a| + |b|?

Answer 7

Either
1. One or both quantities are 0, or
2. Both quantities have the same sign

Question 8

Can a absolute value be negative?

Answer 8

No, the right side of an absolute value can never be negative, there is no solution

Question 9

Can a absolute value be negative?

Answer 9

No, the right side of an absolute value can never be negative, there is no solution