Algebra I Linear Equations & Inequalities Form

Instructions and help about Algebra I Linear Equations & Inequalities

in this lesson we're going to focus on solving inequalities and at the same time graphing it on a number line so let's begin with our first example 2x plus 3 is greater than 7. so to solve an inequality is the same as solving an equation you can treat the greatest sign as if it's an equal sign the only difference is when you have the solution you should plot it on a number line so let's begin by subtracting both sides by 3. these will cancel and so 2x is greater than 7 minus 3 which is 4. next let's divide both sides by 2. and so we can see that x is greater than 4 divided by two which is two and now let's plot it on the number line so here's two because it's greater than but not equal to we're gonna have an open circle and since it's greater than we're gonna shade towards the right that is towards positive infinity so to represent the answer using interval notation it's from 2 to infinity now let's try another example try this one 1 3 x plus 4 is less than or equal to 6. feel free to