Question

3x + 4 = 5x + 10

Answer 1

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*