When solving an inequality, why is it necessary to perform the same operation on both sides?

Understanding One-Step Inequalities

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Mathematics
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6th - 10th Grade
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Hard
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To eliminate the variable
To make the equation more complex
To keep the equation balanced
To change the variable
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do after solving an inequality to ensure correctness?
Ignore the solution
Solve it again
Check and graph the answer
Flip the inequality sign
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is considered the inverse of multiplication in the context of solving inequalities?
Addition
Subtraction
Multiplication
Division
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dividing both sides of an inequality by a negative number, what must you do to the inequality sign?
Flip it
Remove it
Multiply it
Keep it the same
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If x is multiplied by -3 and the result is less than -33, what is x?
Greater than 11
Less than 11
Equal to 11
Cannot be determined
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of inequalities, what is the inverse operation of division?
Subtraction
Division
Addition
Multiplication
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct solution when dividing both sides of an inequality by 2?
Subtract 2 from both sides
Divide both sides by 4
Add 2 to both sides
Multiply both sides by 2
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