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# The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the rang...

### Question

The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x

### Options

A) x $$\leq$$ 3

B) x $$\geq$$ 3

C) x < 3

D) x > 3

### Explanation:

mean $$\leq$$ 5; $$\frac{2 + 5 + 2x + 7}{4}$$ $$\leq$$ 5

= $$\frac{14 + 2x}{4} \leq 5$$

= 14 + 2x $$\leq$$ 5 x 4

14 + 2x $$\leq$$ 20 ; 2x $$\leq$$ 20 - 14

2x $$\leq$$ 20 - 14

2x $$\leq$$ 6

x $$\leq$$ $$\frac{6}{2}$$

x $$\leq$$ 3

## Dicussion (1)

• mean $$\leq$$ 5; $$\frac{2 + 5 + 2x + 7}{4}$$ $$\leq$$ 5

= $$\frac{14 + 2x}{4} \leq 5$$

= 14 + 2x $$\leq$$ 5 x 4

14 + 2x $$\leq$$ 20 ; 2x $$\leq$$ 20 - 14

2x $$\leq$$ 20 - 14

2x $$\leq$$ 6

x $$\leq$$ $$\frac{6}{2}$$

x $$\leq$$ 3