Less Than Equal To – Practice Problems

Try out the following Practice Problems based on Concept of Less Than Equal To

Q1. Solve the inequality: “2y – 8 is less than or equal to 10.”

Q2. If m is 6 and n is 3, determine whether “m squared minus 5” is less than or equal to “2n plus 1.”

Q3. Solve for x: “3x plus 7 is less than or equal to 22.”

Q4. If q is a positive number such that “4q minus 6 is less than or equal to 14,” find the possible values for q.

Q5. Determine the range of values for “a” that satisfy the inequality “2a plus 5 is less than or equal to 15.”

Less Than Equal To Sign

Less Than Equal To is an inequality concept that means that the term on the left-hand side of the inequality must not be greater than the term on the right-hand side, i.e. left term must be less than or at maximum equal to the right term. The article covers the concept of “less than or equal to” in mathematics, introducing the symbol “≤” and its depiction on a number line. It includes a table of mathematical symbols, practice problems, and answers to frequently asked questions about inequalities.

Table of Content

  • Less Than Equal to Sign
  • Less Than or Equal To Symbol
  • Less than or Equal to on a Number Line
  • Symbol Notations of Inequalities
  • Less than Equal to and Greater Than Equal to

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Less Than Equal to Sign

The less than equal to sign is added in the image below,...

What is Less Than or Equal To?

“Less than or equal to” means that one thing is not more than another or can be the same. For example, if we have 2x – 3 ≤ 9, it means that 2 times a number (x) minus 3 is not more than 9. Simplifying, if we add 3 to both sides, we get 2x ≤ 12. Then, by dividing both sides by 2, we find x ≤ 6. So, it’s saying the number (x) can be 6 or less, and it’s still true....

Less Than or Equal To Symbol

Symbol of “less than or equal to.” is “≤”...

Less Than or Equal To on a Number Line

The concept of “less than or equal to” on a number line is a fundamental mathematical expression utilized for comparing numerical values. In this context, it signifies that a given number is either smaller than or equal to another number. When representing this relationship on a number line, a closed circle (●) is placed on the point corresponding to the smaller or equal value. For Example, x ≤ 2 is represented as follows on the number line...

Symbol Notations of Inequalities

The various inequalities sign used along with their description is added below:...

Less Than Equal To and Greater Than Equal To

The comparison between Greater Than Equal To and Less Than Equal to mentioned below:...

Less Than Equal To – Examples

Example 1. Solve the inequality: 3x – 5 ≤ 10....

Less Than Equal To – Practice Problems

Try out the following Practice Problems based on Concept of Less Than Equal To...

Less Than Equal To – FAQs

1. What is “Less than or Equal to”?...

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