AnswersTransition Mathematics for SeniorsInequalities in One Variable

Inequalities in One Variable — Quiz Answers

10 verified answers
4

What is the solution to the inequality d over 7 plus 4 is less than or equal to 0 ?

A
negative infinity comma negative 28
B
left parenthesis negative infinity comma negative 28 right bracket
C
open paren 28 comma infinity close paren
D
left bracket 28 comma infinity right parenthesis
5

The solution to an inequality is given in interval notation as open paren 2 comma infinity close paren What is another way to represent this solution set?

A
Image with description A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and negative 5.
B
Image with description A number line going from negative 5 to positive 5. A solid circle appears at positive 2. The number line is shaded between positive 2 and positive 5.
C
Image with description A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and positive 5.
D
Image with description A number line going from negative 5 to positive 5. A solid circle appears at positive 2. The number line is shaded between positive 2 and negative 5.
6

Cate solved an inequality to find c , the possible number of cats that a shelter can house. She found that c is less than 28 Which statement best describes a possible solution to Cate’s problem?

A
The shelter can house 17 cats because 17 is less than 28 .
B
The shelter can house 28 cats because 28 is less than 28 .
C
The shelter can house negative 8 cats because negative 8 is less than 28 .
D
The shelter can house 15 point 6 cats because 15 point 6 is less than 28 .
7

Which statement about solving inequalities is true?

A
Adding the same value to both sides of an inequality does not change the solution set.
B
Subtracting the same value from both sides of an inequality changes the solution set.
C
When multiplying both sides of an inequality by the same negative value, it is not necessary to reverse the inequality sign.
D
When dividing both sides of an inequality by the same positive value, it is necessary to reverse the inequality sign.
10

What is the first step in solving the inequality 2 x plus 3 is greater than or equal to 17 ?

A
Divide the left side by 2 .
B
Subtract 3 from both sides.
C
Change the inequality to is greater than .
D
Change the direction of the inequality.

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