2(4y+1) = 3y. We need to solve for y. First let's get ride of the parenthesis by developing 2(4y+1). This means to multiply 2 by 4y and 2 by 1, and add them. 2(4y+1) = 2*4y + 2*1 = 8y + 2 So 2(4y+1)=3y 8y+2 = 3y Then you subtract 8y from each side to have the variables on a side and the numbers on the other: 3y - 8y = 8y + 2 - 8y -5y = 2 Then you divide each side by -5 to get the variable y alone on a side and its value on the other: (-5y)/-5 = 2/-5 y = -2/5
You can re-check your answer (very important): 2(4y + 1) = 2(4*-2/5 + 1) = -1.2 3y = 3 * -2/5 = -1.2 So 2(4y+1)=3y= -1.2 The answer has been approved.
All others did not satisfy the inequality simultaneously except #4 and #6 For #4: 2 < 5(1) + 2 i.e. 2 < 7 (true) 2 >= 1/2(1) + 1 i.e. 2 >= 3/2 (true) For #6 2 < 5(2) + 2 i.e. 2 < 12 (true) 2 >= 1/2(2) + 1 i.e. 2 >= 2
