Answer:
Explanation:
To solve the inequality for t, we first expand the left-hand side to get:
[tex]5t-21t-3<93[/tex]adding the like terms gives
[tex]-16t-3<93[/tex]adding 3 to both sides gives
[tex]-16t<96[/tex]At this point, we have to remember that dividing or multiplying an inequality by a negative number reverses its sign. So when we divide our inequality by -16, the inequality reverses sign and we get:
[tex]t>-\frac{96}{16}[/tex][tex]\boxed{\therefore t>-6.}[/tex]which is our answer!