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

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4 votes

Answer:

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!

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