Question

My question:solve the equation or inequality.5t - 3 (7t + 1) < 93would the answer be 7 > -6?

Answer 1

Explanation:

To solve the inequality for t, we first expand the left-hand side to get:

`5t-21t-3<93`

adding the like terms gives

`-16t-3<93`

adding 3 to both sides gives

`-16t<96`

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:

`t>-(96)/(16)`
`\boxed{\therefore t>-6.}`

which is our answer!