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:
19,23
Step-by-step explanation:
9+x-7≥ 21
Combine like terms
2+x≥21
Subtract 2 from each side
2+x-2 ≥21-2
x≥19
Any number greater than or equal to 19
Answer:45.66
Step-by-step explanation: Simplify the expression.
Hope this helps you out! ☺
Answer: AC=3.5
Solve proportionally:3 over 4 equals 1.5 over x.
3x= 6
6/3=2
X=2
2+1.5=3.5