Answer:
The only value in the interval (-2, 5) which satisfies the inequality is:
Step-by-step explanation:
Given the inequality
The integer values lie in the interval (-2, 5) = -1, 0, 1, 2, 3, 4
Let us substitute all the integer values lie in the interval
substitute x = -1
-4x – 1 > 1
-4(-1) - 1 > 1
4 - 1 > 1
3 > 1
TRUE
substitute x = 0
-4x – 1 > 1
-4(0) - 1 > 1
0 - 1 > 1
-1 > 1
FALSE
substitute x = 1
-4x – 1 > 1
-4(1) - 1 > 1
-4 - 1 > 1
-5 > 1
FALSE
substitute x = 2
-4x – 1 > 1
-4(2) - 1 > 1
-8 - 1 > 1
-7 > 1
FALSE
substitute x = 3
-4x – 1 > 1
-4(3) - 1 > 1
-12 - 1 > 1
-13 > 1
FALSE
substitute x = 4
-4x – 1 > 1
-4(4) - 1 > 1
-16 - 1 > 1
-17 > 1
FALSE
Therefore, the only value in the interval (-2, 5) which satisfies the inequality is:
