IXL | Solve inequalities with decimals: variables on both sides

Solve for

3.8

9.79

4.9

Write your answer with

first, followed by an inequality symbol.

ref_doc_title.

Learn with an example

question

Solve for

–

0.4

2.31

2.9

Write your answer with

first, followed by an inequality symbol.

key idea

To solve for a variable, use inverse operations to undo the operations in the inequality. Be sure to gather like terms and to do the same operation to both sides of the inequality.

When multiplying or dividing an inequality by a negative number, reverse the direction of the inequality symbol.

solution

Solve for

–

0.4

2.31

2.9

–

3.3

Subtract

2.9

from both sides

2.31

Subtract

2.9

from both sides

Divide both sides by

–

3.3

and reverse the direction of the inequality symbol

–

0.7

Divide both sides by

–

3.3

and reverse the direction of the inequality symbol

Looking for more? Try these:

Lesson: Solving inequalities

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Teacher tools

Work it out

Not feeling ready yet? These can help:

N.10Solve inequalities with integers: variables on both sides

M.12Solve equations with variables on both sides

Lesson: Solving inequalities

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