Choose the correct description of the graph of the compound inequality x - 2 -3 and 3x

Question

Choose the correct description of the graph of the compound inequality

x - 2 > -3 and 3x <= 12

anonymous · Answer

what's that second expression:  "x - 2 > -3 and 3x  12"  ??

anonymous · Answer

I'm sorry but what do you mean by the second expression

anonymous · Answer

oh... the second part of the compound inequality was incomplete... i see you corrected it...

anonymous · Answer

Yeah sorry about that

anonymous · Answer

to solve this, just solve each inequality separately and join the solution with "AND"
solve:
x - 2 > -3        AND      3x <= 12

anonymous · Answer

the second part would be x<= 4 right but the first part I have no idea could you walk me through it

anonymous · Answer

for the first part, add 2 to both sides of the inequality:
x - 2 + 2 > -3 + 2
x             >              ???

anonymous · Answer

so it would be x>-3

anonymous · Answer

Never mind I got it

anonymous · Answer

ok, that is correct ^^^... so do you know how the graph looks?

anonymous · Answer

Yes I got it

anonymous · Answer

ok