The solution set of the inequality 12x+7 < -11 OR 5x-8 > 40 is x ∈ (-∞, -3/2) OR x ∈ (48/5, ∞) or -∞ < x < -3/2 OR 48/5 < x < ∞.
What is inequality?
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have inequality:
12x + 7 < -11 OR 5x - 8 > 40
To solve for x first simplify the inequality:
12x < -11 - 7 OR 5x > 40 + 8
12x < -18 OR 5x > 48
x < -18/12 OR x > 48/5
x < -3/2 OR x > 48/5
After plotting on a coordinate plane:
The solution set for the inequality is:
x ∈ (-∞, -3/2) OR x ∈ (48/5, ∞)
-∞ < x < -3/2 OR 48/5 < x < ∞
Thus, the solution set of the inequality 12x+7 < -11 OR 5x-8 > 40 is x ∈ (-∞, -3/2) OR x ∈ (48/5, ∞) or -∞ < x < -3/2 OR 48/5 < x < ∞.
Learn more about the inequality here:
brainly.com/question/19491153
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