Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.

Question

anonymous · Answer

a 3x-9<=15 b 3x-9>=-15 c 2x-3>=5 d 2x-3<=-5 a 3x<= 24 x <=8 b 3x >= -6 x >= -2 [-2,8] c 2x >= 8 x >= 4 d 2x <= -2 x <= -1 [4,infinity) (-infinity,-1) [-2,8] and ( [4,infinity) or (-infinity,-1] ) answer: [-2,-1] or [4,8]

jhonyy9 · Answer

3x-9<=15
3x<=24
x<=24/3
x<= 8

3x-9<= -15
3x<= -6
x<= -6/3
x<= -2

anonymous · Answer

what does it mean by compound inequality..?

anonymous · Answer

"A compound inequality is two or more inequalities joined together with or or and.."

anonymous · Answer

why is it (-2,-1) or (4,8) instead of (8,4)?

anonymous · Answer

(low value,high value)

anonymous · Answer

is there a reason for that?

anonymous · Answer

i guess because numbers are from left to right..

anonymous · Answer

ahh. ok thanks ^_^

anonymous · Answer

;)

anonymous · Answer

still online..?

anonymous · Answer

yes

anonymous · Answer

why are the 44 and 1 with infinite but not the 8 and 2?

anonymous · Answer

i mean 4

anonymous · Answer

a 3x<= 24 x <=8 b 3x >= -6 x >= -2 looks like -2 <= x <= 8 you see its bounded .. c 2x >= 8 x >= 4 d 2x <= -2 x <= -1 x>=4 but is not smaller than anyvalue so .. 4,infinity the same with the -1

anonymous · Answer

oh i see