Solve the Linear Inequality: 6x+d < 3x+1 Step by Step

Solve the inequality:

6x+d<3x+1 6x+d < 3x+1

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Step-by-step written solution

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1

Understand the problem

Solve the inequality:

6x+d<3x+1 6x+d < 3x+1

2

Step-by-step solution

To solve the inequality 6x+d<3x+1 6x+d < 3x+1 , we follow these steps:

  • Subtract 3x 3x from both sides: 3x+d<1 3x + d < 1

  • Subtract d d from both sides:3x<1d 3x < 1 - d

  • Divide both sides by 3 3 : x<13d+13 x < -\frac{1}{3}d+\frac{1}{3}

3

Final Answer

x<13d+13 x < -\frac{1}{3}d+\frac{1}{3}

Practice Quiz

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Solve the inequality:


\( 5-3x>-10 \)

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