The solutions to the given inequalities are x > 3.5 and x < 6 respectively
From the question, we are to determine values of x that satisfy the given inequalities
The given inequalities are
3.5x-10 > -3 and 8x-9 < 39
First,
3.5x - 10 > -3
Add 10 to both sides
3.5x - 10 + 10 > -3 + 10
3.5x > 7
∴ x > 7/3.5
x > 3.5
For 8x-9 < 39
Add 9 to both sides
8x -9 +9 < 39 +9
8x < 48
x < 48/8
x < 6
Hence, the solutions to the given inequalities are x > 3.5 and x < 6 respectively
Learn more on Inequalities here: https://brainly.com/question/15351029
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