we have
[tex]\frac{4}{5}x+5 < -3[/tex]
Subtract [tex]5[/tex] both sides
[tex]\frac{4}{5}x+5-5 < -3-5[/tex]
[tex]\frac{4}{5}x < -8[/tex]
Multiply by [tex]5/4[/tex] both sides
[tex]x < -8*(5/4)[/tex]
[tex]x < -10[/tex]
the solution is the interval--------> (-∞,-10)
that means
All real numbers less than [tex]-10[/tex]
therefore
the answer is the option A
see the attached figure
