Question

Someone help me with this still im stock on it plz

Answer 1

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