Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Answer:
108 cm^2
Step-by-step explanation:
Trapezoid area = (a+b)/2 * h
= (6+12)/2 * 6 = 54 cm^2
Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2
Total area is 54+54 = 108 cm^2
Can we get a clearer pic?
