How do I solve and graph this inequality?-x + 4 < 2(x - 8)
1 answer:
The solution to the inequality is x > 20/3. The graph of the inequality is attached below.
We are given an inequality. We need to solve the inequality and also plot it on the graph. The inequality is : -x + 4 < 2(x - 8). First of all, we will solve the brackets. The inequality becomes : -x + 4 < 2x - 16. Now, we will separate the variable and the constants on opposite sides of the inequality. The inequality is simplified as : 16 + 4 < 2x + x. Now, we need to combine the like terms. The modified inequality is : 3x > 20. Now, divide both sides of the inequality by 3. The solution is x > 20/3.
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Answer: C
Step-by-step explanation:
When there is division inside a set of parentheses, you can distribute the power to each term. When you take a power to another power, you multiply the powers.
-5 x -4 = 20
-2 x -4 = 8
So your answer is: