The missing information so that the inequality has infinite solutions are
-4(2x + 1) < 2x + (-10)x + (-4)
How to find the missing numbers
To have an inequality with infinite solutions, you want the coefficients of x on both sides to be the same.
-4(2x + 1) < ax + bx + c
Now, distribute on the left side:
-8x - 4 < ax + bx + c
For infinite solutions, we want the coefficients of x on both sides to be the same:
-8 = a + b
-4 = c
choosing values for a and b
say b = -10 and a = 2
= 2 + (-10)
= -8
Substitute these values into the inequality:
-4(2x + 1) < 2x - 10x - 4