Question

Solve this inequality (show your work)

3x -7 > 5

Answer 1

x>4

Explanation:

When solving an inequality, treat it exactly like you would when solving an equation. Perform reverse operations on both sides of the inequality to cancel values out and isolate the variable, which in this case, is x. The only difference is if you were to multiply or divide both sides by -1, you must reverse the inequality (ex. > turns into <)

`3x -7 > 5`

Add 7 to both sides

`3x -7+7>5+7\\3x>12`

Divide both sides by 3

`(3x)/(3)>(12)/(3)\\x>4`

I hope this helps!

Answer 2

x > 4

Step-by-step explanation:

if x were to equal 4, then we would have 12 - 7 > 5 which when we simplify it, we know it's not true because it would be 5 > 5 which is incorrect. That means that the lowest number x could possibly be is 5 because when substituted and simplified, we get 8 > 5 which is correct. The answer I put means that x has to be greater than 4 because if x was any number greater than 4, it would make the inequality true.

(sorry if this is confusing, I'm not really good at explaining things. I hope it helped anyway)