Question

Solve the inequality below. Show all work for credit.
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6(2x - 1) < -3(5 - 4x)
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Please help me. I'm confused.

Answer 1

Answer:

0<−9

Step-by-step explanation:

6(2x−1)<−3(5−4x)

Step 1: Simplify both sides of the inequality.

12x−6<12x−15

Step 2: Subtract 12x from both sides.

12x−6−12x<12x−15−12x

−6<−15

Step 3: Add 6 to both sides.

−6+6<−15+6

0<−9

Answer 2

Answer:

given, y≥2x+1 and

y>

2

1

x−1

first, draw the graph for equations y=2x+1 and y=

2

1

x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=

2

1

x−1

substitute y=0 we get,

2

1

x−1=0⟹x=2

substitute x=0 we get, y=−1

therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.

Hence, y>

2

1

x−1 includes the region above the line.