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How do you solve $x - 7 > 12$ ?

Last updated date: 16th Jun 2024
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Hint: For any inequality when you are solving you should know the sign of inequality changes when you multiply minus sign both the sides, and the rest solution can be done the same as that for equals sign is done, nor any other assumption should be needed.

The given question is $x - 7 > 12$
$\Rightarrow x - 7 > 12 \\ \Rightarrow x > 12 + 7 \\ \Rightarrow x > 19 \;$
Here we get the final range of $x$ that is greater than $5$ , which implies that the given quantity can have any possible value above $19$ but not 19.
Range of $x$ can be written as $(19,\infty )$ , here open bracket “ $()$ ” is indicating that the value written in the bracket is not for the quantity $x$ but the very next closed value after $19$ is the value of $x$ , and since infinity is not known so we always provide open bracket for infinity.