I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
72
Step-by-step explanation:
This is assuming the following:
1) fork boxes comes with 12 count.
2) spoon boxes comes in 18 count.
3) knife boxes comes in 24 count.
Find the least common factor:
12: 12, 24, 36, 48, 60, 72
18: 18, 36, 54, 72
24: 24, 48, 72
72 is the least common factor shared by all these numbers.
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