# What Values Make the Inequality x+6/6-x 0 True?

An inequality is a mathematical statement that two expressions are not equal. The inequality x+6/6-x 0 is a comparison between two terms, in which the left side is not equal to the right side. To make this inequality true, the two terms must be equal. The question then becomes what values of x make this inequality true?

## Solving for x To determine the values for x that make this inequality true, we need to solve for x. To do this, we first subtract 6/6 from both sides of the inequality. This simplifies the equation to x 0. Next, we multiply both sides of the equation by -1, which gives us -x 0. Finally, we divide both sides of the equation by -1, which yields x 0.

## The Value of x The solution to the inequality x+6/6-x 0 is x 0, which means that the inequality is true when x is equal to 0. This means that when x is equal to 0, the two terms on the left side of the inequality (x+6/6) and the two terms on the right side of the inequality (x) are equal. Therefore, the inequality is true when x is equal to 0.

## Interpretation of the Solution The solution to the inequality x+6/6-x 0 tells us that when x is equal to 0, the two terms on the left side of the inequality (x+6/6) and the two terms on the right side of the inequality (x) are equal. This can be interpreted as follows: when x is equal to 0, the number 6 is divided by 6, which gives us the result 1. This result is then added to the value of x, which is 0. This gives us a total of 1. This value is then subtracted from x, which again is 0. This gives us a result of 0. Therefore, when x is equal to 0, the inequality x+6/6-x 0 is true.

## Conclusion In conclusion, the inequality x+6/6-x 0 is true when x is equal to 0. This means that when x is equal to 0, the two terms on the left side of the inequality (x+6/6) and the two terms on the right side of the inequality (x) are equal. This can be interpreted as follows: when x is equal to 0, the number 6 is divided by 6, which gives us the result 1. This result is then added to the value of x, which is 0, and then subtracted from x, which again is 0. This gives us a result of 0, which makes the inequality true.

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The inequality x+6/6-x 0 is true when x is equal to 0. This means that when x is equal to 0, the two terms on the left side of the inequality (x+6/6) and the two terms on the right side of the inequality (x) are equal. Knowing the value of x that makes this inequality true can help us solve other equations and inequalities.