Solve the Linear Inequality: 7x+c ≤ 4x-2

Question

Solve the inequality:

7x+c4x2 7x+c \leq 4x-2

Step-by-Step Solution

To solve the inequality7x+c4x2 7x+c \leq 4x-2 , we follow these steps:

  • Subtract 4x 4x from both sides: 3x+c2 3x + c \leq -2

  • Subtract c c from both sides: 3x2c 3x \leq -2 - c

  • Divide both sides by 3 3 : xc+23 x \leq -\frac{c+2}{3}

Answer

xc+23 x \leq -\frac{c+2}{3}


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