One-Step Inequalities Quiz

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Questions and Answers

What is represented by the inequality n < -3?

a number greater than -3

a number less than -3 (correct)

a number at least -3

a number equal to -3

What is represented by the inequality n > 10?

a number greater than 10 (correct)

a number less than 10

a number equal to 10

a number no more than 10

What is represented by the inequality n ≥ 14?

a number no more than 14

a number equal to 14

a number at least 14 (correct)

a number less than 14

What does the inequality n ≤ 10 represent?

a number equal to 10 or less Signup and view all the answers

What is the solution for x if x + 5 < 20?

x < 15 Signup and view all the answers

What is the solution for x if x - 4 > -8?

x > -4 Signup and view all the answers

What is the solution for x if 7x ≥ -35?

x ≥ -5 Signup and view all the answers

What is the solution for x if x/8 < -48?

x < -384 Signup and view all the answers

What is the solution for x if x + 5 ≤ -6?

x ≤ -11 Signup and view all the answers

What is the solution for x if x - 9 > -8?

x > 1 Signup and view all the answers

What is the solution for x if x + 15 < 12?

x < -3 Signup and view all the answers

What is the solution for x if x - 15 ≥ 50?

x ≥ 65 Signup and view all the answers

What is the solution for x if x + 10 ≤ 75?

x ≤ 65 Signup and view all the answers

What is the solution for x if -8x < 24?

x > -3 Signup and view all the answers

What is the solution for x if -5x > -35?

x < 7 Signup and view all the answers

What is the solution for x if x/6 ≥ -2?

x ≥ -12 Signup and view all the answers

What is the solution for x if x/(-6) ≥ -2?

x ≤ 12 Signup and view all the answers

What is the solution for x if 9x > 81?

x > 9 Signup and view all the answers

What is the solution for x if -7x < 42?

x > -6 Signup and view all the answers

What does the symbol < represent?

less than Signup and view all the answers

What does the symbol > represent?

greater than Signup and view all the answers

What does the symbol ≤ represent?

no more than Signup and view all the answers

What does the symbol ≥ represent?

greater than or equal to Signup and view all the answers

Study Notes

One-Step Inequalities

A number less than -3 is represented as n < -3.
A number greater than 10 is denoted by n > 10.
A number at least 14 can be expressed as n ≥ 14.
Describing a number no more than 10 is done with n ≤ 10.

Solving Inequalities

The inequality x + 5 < 20 simplifies to x < 15.
From the inequality x - 4 > -8, it simplifies to x > -4.
For 7x ≥ -35, dividing by 7 shows that x ≥ -5.
The expression x/8 < -48 results in x < -6 after multiplication.

More Inequalities

The inequality x + 5 ≤ -6 leads to x ≤ -11 when solved.
The statement x - 9 > -8 resolves to x > 1.
From x + 15 < 12, we conclude that x < -3.
Solving x - 15 ≥ 50 results in x ≥ 65.
The inequality x + 10 ≤ 75 simplifies to x ≤ 65.

Special Cases Involving Negative Coefficients

The inequality -8x < 24 results in x > -3 after dividing both sides by -8.
For -5x > -35, it translates to x < 7, dividing by -5 reverses the inequality.
When dealing with x/6 ≥ -2, the solution is x ≥ -12.
The inequality x/(-6) ≥ -2 simplifies to x ≤ 12, also reversing the inequality due to division by a negative.
The expression 9x > 81 shows that x > 9 after division by 9.
The inequality -7x < 42 resolves to x > -6.

Basic Symbols in Inequalities

The symbol for less than is <.
Greater than is represented by >.
Less than or equal to is symbolized as ≤.
Greater than or equal to appears as ≥.
The phrase "no more than" corresponds to ≤.
"No less than" is represented by ≥.
The term "at least" uses the symbol ≥.
"At most" indicates ≤.

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Description

Test your understanding of one-step inequalities in this quiz. You will solve various inequalities and learn how to express them in mathematical notation. Perfect for reinforcing your knowledge in algebra concepts.