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saveliy_v [14]
3 years ago
13

For which values of x is the inequality 3(1 + x) > x + 17 true?

Mathematics
2 answers:
Andru [333]3 years ago
7 0

Answer:  The correct option is

(D) 8 and 9.

Step-by-step explanation:  We are given to select the correct values of x for which the following inequality is true :

3(1+x)>x+17~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To select the correct values of x, we must solve the given inequality.

From inequality (i), we have

3(1+x)>x+17\\\\\Rightarrow 3+3x>x+17\\\\\Rightarrow 3x-x>17-3\\\\\Rightarrow 2x>14\\\\\Rightarrow x>\dfrac{14}{2}\\\\\Rightarrow x>7.

Since the value of x is strictly greater than 7, so the correct vaues will be 8 and 9.

Option (D) is CORRECT.

Fittoniya [83]3 years ago
3 0
For which values of x is the inequality 3(1 + x) > x + 17 true?
A) 2 & 3
B) 4 & 5
C) 6 & 7
☆☆☆☆☆☆☆☆D) 8 & 9

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Mary bought a handbag for 15.00naira. if she sold it for 18.00,what was her percentage gain?​
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When a problem involves more than one unit for a characteristic (such as length), now can you tell which unit is more appropriat
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7 0
4 years ago
System of equation<br> 4a +9b =8<br> 8A +6c=-1<br> 6b+6c=-1
lozanna [386]
4a + 9b + 0c = 8   ⇒ 4a + 9b + 0c = 8
8a + 0b + 6c = -1 ⇒<u> 8a + 0b + 6c = -1</u>
0a + 6b + 6c = -1   12a + 9b + 6c = 7
                                                         12a + 9b +   6c = 7 ⇒ 24a + 18b + 12c = 14
4a + 9b + 0c = 8                                 8a + 6b + 12c = 0 ⇒ <u>24a + 18b + 36c = 0</u>
8a + 0b + 6c = -1 ⇒ 8a + 0b + 6c = -1                                                   <u>-24c</u> = <u>14</u>
0a + 6b + 6c = -1 ⇒ <u>0a + 6b + 6c = -1</u>                                                    -24    -24
                               8a + 6b + 12c = 0                                                          c = ⁷/₁₂
                                                                                                      6b + 6(⁷/₁₂) = -1
                                                                                                         6b + 3¹/₂ = -1
                                                                                                        <u>       - 3¹/₂   - 3¹/₂</u><u>
</u>                                                                                                                   <u>6b</u> = <u>-4¹/₂
</u>                                                                                                                    6        6<u>
</u>                                                                                                                    b = ³/₄
                                                                                                      4a + 9(³/₄) = 8
                                                                                                        4a + 6³/₄ = 8
                                                                                                        <u>     - 6³/₄   - 6³/₄
</u>                                                                                                                  <u>4a</u> = <u>1¹/₄</u>
                                                                                                                   4       4
                                                                                                                    a = ⁵/₁₆
                                                                                      (a, b, c) = (⁵/₁₆, ³/₄, ⁷/₁₂)

8 0
4 years ago
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