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:
Step-by-step explanation:
The odd numbers.
Suppose you have 31 and 27 when you add these two together, you get 58 which is not an odd number.
If you need a more mathematical proof, you could do it this way.
2x+1
2x is even. Anything multiplied by 2 is even. When you add 1 you get an odd number
So continue on
2y + 1 is the other number.
2x + 1 + 2y + 1 = 2(x + y) + 2
2 (x + y ) is even. When you add 2 to it, nothing changes. The result is still even.
Answer:
6
Step-by-step explanation:
Answer:
w=+/-4.24 or whatever could be either since its squared
Step-by-step explanation:
subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24
