Solve and graph 35y 2 Solution27 3 5y 2 18y 18 or 15y 6

Solution

27)    -3( 5y + 2) < -18y -18 or, -15y – 6 < -18 y – 18 or, -15y + 18 y - 6 + 6 < – 18y + 18 y – 18 + 6 or, 3y < -12 or 3y/3 < -12/3 or, y < - 4.Thus, the solution A is correct. y ( - , - 4). The portion of the real number line to the left of y = -4 is the graph of the inequality.

28) 2(6x – 7) – 3x < 9x + 5 or, 12x – 14 – 3x < 9x + 5 or, ( 12x – 3x -14 ) < (9x + 5 ) or, 9x – 14 < 9x + 5 Since -14 < 5, the given inequality is true for all values of x , negative, positive, or 0 on the real number line. Thus x ( - , ). The answer A is correct. The graph of the inequality is the entire real number line.

29) 6x + 4(x -2) < 10x – 5 or, 6x + 4x – 8 < 10 x – 5 or, 10x – 8 < 10x – 5. This is true for all values of x on the real number line as – 8 < - 5. Thus x ( - , ). The graph of the inequality is the entire real number line.