Solve each compound inequality and graph its solution.

6 x space plus thin space 6 space greater or equal than space 4 x space minus space 6 space a n d space 10 space minus space 8 x space greater or equal than space x space plus thin space 10

Group of answer choices

6 x space plus thin space 6 space greater or equal than space 4 x space minus space 6 space a n d space 10 space minus space 8 x space greater or equal than space x space plus thin space 10

Rewrite properly as:

6x + 6 >= 4x - 6 and 10 - 8x >= x + 10

Start by isolating the variable terms and the constants

So, we have:

6x - 4x >=6 - 6 and -x - 8x >= 10 - 10

Evaluate the like terms

2x >= 0 and -9x >= 0

Divide both sides by the coefficient of the variable term

x >= 0 and x >= 0

Combine the solutions

x >= 0

Hence, the solution to the compound inequality 6x + 6 >= 4x - 6 and 10 - 8x >= x + 10 is x >= 0

See attachment for the graph of the compound inequality

Solve each compound inequality and graph its solution. 6 x space plus thin space 6 space greater or equal than space 4 x space minus space 6 space a n d space 10 space minus space 8 x space greater or equal than space x space plus thin space 10 Group of answer choices

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How to solve the compound inequality and graph its solution?

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Solve each compound inequality and graph its solution.

6 x space plus thin space 6 space greater or equal than space 4 x space minus space 6 space a n d space 10 space minus space 8 x space greater or equal than space x space plus thin space 10

Group of answer choices