Video Transcript
Given that 𝑥 plus 34 is greater
than or equal to 46, what number do you need to add to both sides of the inequality
to solve for 𝑥?
In order to solve for 𝑥, we want
𝑥 to be the only thing on one side of the inequality. In this case, 34 is being added to
𝑥. If we wanted to get 𝑥 by itself,
we might subtract 34 from both sides of the inequality. And this is where we need to be
really careful reading this question because this question wants us to add something
to both sides of the equation. This first option, we have
subtracted 34. But if our question wants us to do
it in a format of addition, then we need to say we are adding negative 34. Since the question has asked what
number do we need to add to both sides of the inequality, the answer is we add
negative 34.
And by adding negative
32
[34] to both sides of the inequality, we find that 𝑥 must be
greater than or equal to 12.
