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What is the solution set to 8(2ˣ - 3) < 20-4ˣ

User Naser
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Final answer:

The solution set to the given inequality is x < -2.

Step-by-step explanation:

The solution set to the given inequality is:

x < -2

To solve the inequality, we need to isolate the variable, x. Let's start by distributing 8 to both terms inside the parentheses:

16x - 24 < 20 - 4x

Next, let's simplify by combining like terms:

20x < 44

Finally, divide both sides of the inequality by 20 to solve for x:

x < -2

User J Rassi
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