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Graph the solution to this inequality: 3/4(x+8)>1/2(2x+10)

Graph the solution to this inequality: 3/4(x+8)>1/2(2x+10)-example-1
User LeelaSella
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10 votes

Answer:

5


5y * 3

User Braden Brown
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The solution to this inequality is x<4

To graph the solution to the inequality, we'll need to follow these steps:

Solve the inequality for x.

Identify the shading region based on the inequality sign.

Draw the boundary line and shade the appropriate region.

Step 1: Solve the inequality for x:

Multiply both sides by 4:

3(x+8) > 2(2x+10)

Distribute both sides:

3x + 24 > 4x + 20

Move all x terms to one side:

-x + 24 > 20

Subtract 20 from both sides:

-x > -4

Multiply both sides by -1 (and flip the inequality sign):

x < 4

Step 2: Identify the shading region:

Since the inequality is <, we shade the region below the boundary line (the line representing x = 4).

Step 3: Draw the boundary line and shade the region:

Draw a dashed line at x = 4 (dashed because it's not part of the solution).

Shade the region below the dashed line.

Graph the solution to this inequality: 3/4(x+8)>1/2(2x+10)-example-1
User Tyler Streeter
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