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.
A line that passes through an angle and splits it into two equal adjacent angles
Answer:
x = 13
Step-by-step explanation:
1. 4x + 1 = 8x - 51
2. 4x = 8x - 52
3. -4x = -52
4. x = 13
Step-by-step explanation:
Since ,
Money lended =$400
Intetest =27.74%
Therefore,
Intetrst=p×r×t/100,if interested monthly
=400×27.74×1/100(interested monthly)
=4×27.74
=$110.96
Interest=p×r×t/100×1/12,if interested anually
=400×27.74×1/100/12
=110.96/12
=$9.24 or it will be $110.96 if it is interested anuaaly..
