Answer:
Step-by-step explanation:
Step 1 - replace the < with an =
3x + 4.7 = -1.5x + 6.5
Step 2 - subtract 4.7 from each side, and add 1.5x to each side
3x + 1.5x = 6.5 - 4.7
4.5x = 1.8
Step 3 - divide each side by 4.5
x = 1.8/4.5
x = .4
Step 4 - change the = back to <
x < .4
Just make sure when you do it this way you check the answer because if you solved by subtracting 3x and subtracting 6.5 you would end up with .4 = x this .4 < x which is false. So depending what number you get always plug in a number bigger and smaller into the original to check. In this case 0 and 1 work.
3(0) + 4.7 < -1.5(0) + 6.5
4.7 < 6.5 which is true.
3(1)+ 4.7 < -1.5(1) + 6.5
3+4.7 < -1.5 + 6.5
7.7 < 5 which is false
So we know the direction on our < is right.
