When x = 4, the inequality A) 3-2x < 5 is true.
Substituting x = 4 into the inequality:
3 - 2(4) < 5
3 - 8 < 5
-5 < 5
Thus, the inequality is true.
A 3-2x<5
B 1 -4x > -14
C-5 - 3X <10
D -4 + 5X > 18
Substituting x = 4 into the inequality:
3 - 2(4) < 5
3 - 8 < 5
-5 < 5
Thus, the inequality is true.
A) 3 - 2x < 5
Replace x with 4: 3 - 2(4) < 5
Simplify: 3 - 8 < 5
-5 < 5
B) 1 - 4x > -14
Replace x with 4: 1 - 4(4) > -14
Simplify: 1 - 16 > -14
-15 > -14
C) -5 - 3x < 10
Replace x with 4: -5 - 3(4) < 10
Simplify: -5 - 12 < 10
-17 < 10
D) -4 + 5x > 18
Replace x with 4: -4 + 5(4) > 18
Simplify: -4 + 20 > 18
16 > 18
From the evaluations, we can see that the inequality C) -5 - 3x < 10 is true when x = 4.
Let's go through each inequality:
A) 3 - 2x < 5
Substitute x = 4:
3 - 2(4) < 5
3 - 8 < 5
-5 < 5
B) 1 - 4x > -14
Substitute x = 4:
1 - 4(4) > -14
1 - 16 > -14
-15 > -14
C) -5 - 3x < 10
Substitute x = 4:
-5 - 3(4) < 10
-5 - 12 < 10
-17 < 10
D) -4 + 5x > 18
Substitute x = 4:
-4 + 5(4) > 18
-4 + 20 > 18
16 > 18
Based on these calculations, we can see that the only true inequality is C) -5 - 3x < 10 when x = 4.