How do I solve and graph this inequality?-x + 4 < 2(x - 8)

Mathematics

1 answer:

sasho [114]2 years ago

8 0

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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