What value of x is in the solution set of the inequality 2x > 11 – 5x?

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To solve the inequality 2x > 11 – 5x, we need to isolate the variable x on one side of the inequality. Here are the steps:

  1. Add 5x to both sides:

    2x + 5x > 11

    which simplifies to:

    7x > 11

  2. Now, divide both sides by 7:

    x > 11/7

  3. Convert 11/7 to a decimal (if necessary):

    x > 1.571

This means that any value of x that is greater than 1.571 is part of the solution set.

In conclusion, the solution set of the inequality 2x > 11 – 5x consists of all values of x that are greater than 11/7 or approximately 1.57.

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