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Serhud [2]
3 years ago
12

} { -4 \geq -6 }" alt="\frac{2x + 7} { -4 \geq -6 }" align="absmiddle" class="latex-formula">
Select the appropriate response
A)X ≤ 17/2
B)X ≤ 19/2
C)X ≤ 17/0
D)X ≤ 17/x
Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

The appropriate response is x ≤ \frac{17}{2} ⇒ A

Step-by-step explanation:

The inequality is \frac{2x+7}{-4} ≥ - 6

To solve the inequality at first multiply both sides of the inequality by -4, but remember when you multiply the sides of the inequality by negative number you must reverse the sign of the inequality

( -2 > -3 if you multiply both sides by -1, then the answer must be 2 < 3)

∵  \frac{2x+7}{-4} ≥ - 6

- Multiply both sides by -4

∴  -4(\frac{2x+7}{-4}) ≤ - 4(- 6)

- Cancel -4 up with -4 down in the left hand side

∴ 2x + 7 ≤ 24

- Subtract 7 from both sides

∴ 2x ≤ 17

- Divide both sides by 2

∴ x ≤ \frac{17}{2}

∴ The appropriate response is x ≤ \frac{17}{2}

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Given that G is the midpoint of FH, then:
FG=GH
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solving for x we get:
14x+2x=73-25
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therefore the length FG=14x+25 will be:
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hence FH will be:
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