Question

Write an inequality for the following statement:



The difference between twice a number and 6 is at least 35.


2n−6≤352 n minus 6 is less than or equal to 35

2n−6≥352 n minus 6 is greater than or equal to 35

6−2n≥356 minus 2 n is greater than or equal to 35

6−2n<35

Answer 1

The inequality for each statement is written as follows:

1. $2n-6\leq 35$

2. $2n-6\geq 35$

3. $6-2n\geq 35$

• Let the number be n.

An inequality is simply a mathematical relation that can be used to compare two (2) integers or variables in an equation by illustrating any of the following:

• Greater than (>).

• Less than (<).

• Greater than or equal to the other (≥).

• Less than or equal to the other (≤).

For this exercise, the inequality for each statement is written as:

2n minus 6 is less than or equal to 35:

$2n-6\leq 35$

2n minus 6 is greater than or equal to 35:

$2n-6\geq 35$

6 minus 2 n is greater than or equal to 35:

$6-2n\geq 35$

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