The range of values that satisfy the given inequalities, 8x - 11 > 5 and 15(6x+2) > -150, is x > -2 OR x > 2
<h3>Solving Linear Inequalities: Determining range of values</h3>
From the question, we are to determine the range of values which satisfy the given inequalities.
The given inequalities are
8x - 11 > 5 and 15(6x+2) > -150
To determine the range of values that satisfy the inequalities, we will solve each of the inequalities separately
Solving 8x - 11 > 5
Add 11 to both sides
8x - 11 + 11 > 5 + 11
8x > 16
Divide both sides by 8
8x/8 > 16/8
x > 2
Solving 15(6x+2) > -150
Divide both sides by 15
15(6x+2)/15 > -150/15
6x + 2 > -10
Subtract 2 from both sides
6x + 2 - 2 > -10 - 2
6x > -12
Divide both sides by 6
6x/6 > -12/6
x > -2
Putting the two solutions together,
x > -2 OR x > 2
Hence, the solution is x > -2 OR x > 2
Learn more on Solving inequalities here: brainly.com/question/246993
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