3. Solve the given inequality and graph the solution on a number line -x/2 + 3/2 + < 5/2 iv tried solving it but i dont think im right

Respuesta :

-x/2 + 3/2 + < 5/2 ==> multiply both sides by 2 ==> -x+3<5

-x<5-3==> -x<2 Multiply both sides by -x>-2 (When you multiply both sides by -1, the < become > & vice versa)  ===> x>-2
I'll try to draw the number line:

______I____I====I====I====I===I====I================>∞
          -3      -2      -1       0     +1     +2     +3

So the equation is valid (where you have the double line) from a point SLIGHTLY greater the -2 & tends towards infinity

Answer:x>-4 you would actually put the dot on -4 and draw a arrow towards the positive side

Step-by-step explanation: this is because -2x-5<3= -4 so you would start on -4 obviously