Answer:
(-infinity, 2) U [-3]
Step-by-step explanation:
Step 1: we want to solve both equations for x. To do so, get the x variable by itself in both equations.
1.) 3x+4 = 5x+10
-6 = 2x (subtract 10 from both sides and 3x from both sides)
-3 = x (divide 2 from both sides)
2.) -5x + 7 > -3
-5x > -10 (subtract 7 from both sides)
x < 2
(divide both sides by -5, notice that dividing by a negative by a negative number flips the direction on > to < .)
Step 2: apply interval notation to these answers. Since x DOES equal -3 in equation one, it'll be in a bracket. On the contrary, since x has to be LESS THAN 2, it will have a parentheses.
So, our answer is: (-infinity, 2) U [-3]
*note the parentheses around infinity because something cannot equal infinity, it's not just one number*
