Answer:
The integer values of x are 5 and 6
Step-by-step explanation:
we have
Inequality A
[tex]4x-2>17[/tex]
solve for x
adds 2 both sides
[tex]4x>19[/tex]
divide by 4 both sides
[tex]x> 4.75[/tex]
solution A is the interval (4.75,∞)
Inequality B
[tex]3x+5<24[/tex]
solve for x
subtract 5 both sides
[tex]3x<19[/tex]
divide by 3 both sides
[tex]x<6.33[/tex]
solution B is the interval (-∞,6.33)
The solution of the inequality A and the inequality B is
(4.75,∞) ∩ (-∞,6.33)=(4.75,6.33)
The integer values of x are 5 and 6
