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Victoria
Mathematics
29 October, 06:00
Which is the solution to - 2 (8x-4) 1/6 x6 x<6
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Alexzander Gates
29 October, 06:11
0
x > 1/6
Step-by-step explanation:
-2 (8x-4) <2x+5
We open the brackets first
-16X + 8 < 2X + 5
Combine the like terms, we subtract 8 on both sides
-16x + 8 - 8 < 2x + 5 - 8
-16 x < 2x - 3
We subtract 2x on both side
-16x - 2x < - 3
-18 x < - 3
simplify, by dividing both side by - 18,
-18x/-18 <-3/18
x > 1/6 (reverse the sign to >)
x > 1/6
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Marely Galvan
29 October, 06:23
0
Choice A is correct answer.
Step-by-step explanation:
Given inequalities is:
-2 (8x-4) < 2x+5
We have to find the value of x.
-16x+8 < 2x+5
Adding 16x to both sides of inequalities, we get
16x-16x+8 < 16x+2x+5
0+8 < 18x+5
Adding - 5 to both sides of inequality, we get
-5+8 < 18x+5-5
3 < 18x
Multiplying by 1/18 to both sides of above equation, we get
1/18 (3) < 1/18 (18xx)
3/18 < x
Swapping sides, we get
x > 3/18
x > 1/6 which is the answer.
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