Respuesta :
First, multiply 1/4 by x+3 ⇒(1/4x+3/4). Next, multiply 3 by 1+x ⇒(3+3x). The equation should now look like this: 1/4x+3/4-4x≤3+3x. The next thing you have to do is get all of the x's on one side of the symbol. Subtract 1/4x from both sides, and the equation then looks like this: 3/4-4x≤3+2 3/4x. Add the -4x to both sides, and the equation should look like this: 3/4≤3+6 3/4x. Next, you have to move the 3 to the left side. To do that, subtract it from both sides. The equation then look like this: -2 1/4≤6 3/4x. Then, to get the x alone, you need to divide the coefficient (6 3/4) by -2 1/4, which equals -1/3 or -0.3 repeating. So, -1/3≤x
¹/₄(x + 3) - 4x ≤ 3(1 + x)
¹/₄(x) + ¹/₄(3) - 4x ≤ 3(1) + 3(x)
¹/₄x + ³/₄ - 4x ≤ 3 + 3x
¹/₄x - 4x + ³/₄ ≤ 3 + 3x
-3³/₄x + ³/₄ ≤ 3 + 3x
+ 3³/₄x + 3³/₄x
³/₄ ≤ 3 + 6³/₄x
- 3 - 3
-2¹/₄ ≤ 6³/₄x
6³/₄ 6³/₄
⁻¹/₃ ≤ x
x ≥ ⁻¹/₃
¹/₄(x) + ¹/₄(3) - 4x ≤ 3(1) + 3(x)
¹/₄x + ³/₄ - 4x ≤ 3 + 3x
¹/₄x - 4x + ³/₄ ≤ 3 + 3x
-3³/₄x + ³/₄ ≤ 3 + 3x
+ 3³/₄x + 3³/₄x
³/₄ ≤ 3 + 6³/₄x
- 3 - 3
-2¹/₄ ≤ 6³/₄x
6³/₄ 6³/₄
⁻¹/₃ ≤ x
x ≥ ⁻¹/₃