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lutik1710 [3]
3 years ago
12

Solve the given inequality. Describe the solution set using the set builder or interval notation. Then graph the solution set on

a number line. 3(x-5)>6

Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer: THIRD OPTION.

Step-by-step explanation:

Given the following inequality:

3(x-5)\geq 6

You can follow these steps in order to solve it:

1. Apply Distributive property on the left side:

3(x-5)\geq 6\\\\(3)(x)+(3)(-5)\geq 6\\\\3x-15\geq 6

2. Add 15 to both sides of the inequality:

3x-15+(15)\geq 6+(15)\\\\3x\geq 21

3. Finally, divide both sides of the inequality by 3:

\frac{3x}{3}\geq \frac{21}{3}\\\\x\geq 7

 The symbol is \geq means "Greater than or equal to", and indicates that 7 is  include in the solution.

Therefore, the solution can be expressed as:

[7, \infty)

Now you must mark this point with a closed dot on the number line and shade everything to the right.

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