2 (x-2) < 3x + 8

What is the solution?

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

2 * (x-2) - (3*x+8) <0

Step by step solution:

Step 1:

Equation at the end of step 1:

2 • (x - 2) - (3x + 8) < 0

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

-x - 12 = - 1 • (x + 12)

Equation at the end of step 3:

-x - 12 < 0

Step 4:

4.1 Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

x+12 > 0

Solve Basic Inequality:

4.2 Subtract 12 from both sides

x > - 12

Inequality Plot:

4.3 Inequality plot for

-x - 12.000 < 0

One solution was found:

x > - 12Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

2 * (x-2) - (3*x+8) <0

Step by step solution:

Step 1:

Equation at the end of step 1:

2 • (x - 2) - (3x + 8) < 0

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

-x - 12 = - 1 • (x + 12)

Equation at the end of step 3:

-x - 12 < 0

Step 4:

4.1 Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

x+12 > 0

Solve Basic Inequality:

4.2 Subtract 12 from both sides

x > - 12

Inequality Plot:

4.3 Inequality plot for

-x - 12.000 < 0

One solution was found:

x > - 12