76.9k views
0 votes
If minus 9 over 5 less than minus 3 t plus 1 less than minus 7 over 4 comma what is one possible value of 9 t minus 3 ?

1 Answer

1 vote

Let's simplify the given inequality first.-9/5 < -3t + 1 < -7/4

To solve for t, we need to isolate it in the middle. Let's start by subtracting 1 from each part.-9/5 - 1 < -3t < -7/4 - 1-14/5 < -3t < -11/4

Now, we can isolate t by dividing each part by -3 and remember that when we divide an inequality by a negative number, we must flip the inequality sign.-14/5 ÷ (-3) > t > -11/4 ÷ (-3)14/15 > t > 11/12

Now, let's find a possible value of 9t - 3 by selecting any value of t in the range we found above. For example, we can choose t = 1, then:9t - 3 = 9(1) - 3 = 6

Therefore, one possible value of 9t - 3 is 6.

User Keith Kong
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.