Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
-5
-3
-2
-1
1
2
3
O
4
5
+
+
4
-3
-2
-1
0
1
2
4
5
+
w+ W0
+
at at at
+
fr
-3
-2
-1
o
1
2
3
4
5
+
-3
-2
-1
ó
1
2 3
4
5

3 < x

Step-by-step explanation:

3(8 - 4x) < 6(x - 5)?

Distribute

24 -12x< 6x -30

Add 12x to each side

24-12x+12x < 6x+12x-30

24 < 18x-30

Add 30 to each side

24+30 < 18x-30+30

54 < 18x

Divide each side by 18

54/18 < 18x/18

3 < x

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

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step-by-step explanation: