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In $13-22,$ solve each equation or inequality. Each solution is an integer. $$2 x+3 < x+15$$

$x \in(-\infty, 12)$

Algebra

Chapter 1

THE INTEGERS

Section 3

Adding Polynomials

The Integers

Equations and Inequalities

Polynomials

Campbell University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

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In $13-22,$ solve each equ…

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Hello. Everybody solve each equation or inequality. Each solution is an integer. So, uh, this isn't inequality right over here, and it is to X for three is less than extra 15. So our first step is going to be to isolate the variables, to bring them all to the left hand side, are to a side in this case, is going to the left hand side and to eventually get it by itself on that side. So we want to subtract by ex both as the ex. So we get expert three is less than 15. Now, to get X myself on the left hand side, you want subtract both sides by three. So you get X is less than 12. Since this is inequality, the solutions to this inequality are all integers less than 12. And so a way of expressing this would be right here. This is the domain of X, And so ah, fancy What is essentially just a fancy way of writing that, uh, all values from negative infinity to 12 are solutions to this inequality. And one thing to notice is this right? Here it is a apprentices, which means that 12 itself is not included. So, uh, it's from negative Infinity to 12 not including 12

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