How to solve this inequality?

y – 2x ≤ –3?

Question

How to solve this inequality?

y – 2x ≤ –3?

yanasidlinskiy · Answer

Do you know how to solve efor eitiher one?

anonymous · Answer

@YanaSidlinskiy kinda

yanasidlinskiy · Answer

Well..Ok..Show me what you can do..

imstuck · Answer

Solve it just like you would an equality (as opposed to an inequality).  Add the 2x to both sides to get$$y \le2x-3$$Are you shading the result on a graph, then?  If so here's what we do for that|dw:1401701971649:dw|That's the line and it's solid because your statement is one of "less than or equal to".  Now we need to pick a point (just a generic one) to see if it makes the inequality true.  Let's try (0, 0).  Does (0, 0) make the inequality true?  Let's check.$$0\le2(0)-3$$or in other words is 0 less than -3? No it's not, so the points on the other side of the line satisfy the line.|dw:1401702191770:dw|The "SHADED" area is your answer.