4x + ax - 14 > - 24
(4 + a)x - 14 > - 24
Add both sides 14
(4 + a)x - 14 + 14 > - 24 + 14
(4 + a)x > - 10
put the given value instead of x ( x = - 2 )
(4 + a)( - 2 ) > - 10
Divide both sides by - 2
Hint :
When we multiply or divide the sides of an inequality by a negative number, the direction of the inequality changes which means < changes to > , and > changes to <
(4 + a)( - 2) ÷ ( - 2 ) < - 10 ÷ ( - 2 )
(4 + a) < 5
4 + a < 5
Subtract both sides 4
4 - 4 + a < 5 - 4
a < 1
Thus the highest integer value of a is:
a = 0
