Question

1)4x+2>3x+1 2)2x+1>x+63)2(x+1,5)-(x-4)<24)3x+12≤x+175)4(3-y)<12,1-3,5yрешите неравенства.ПОЖАЛУЙСТА ТОЛЬКО НЕ ТАК "НЕРАВЕНСТВО, ОТВЕТ"А СО ВСЕМИ ДЕЙСТВИЯМИ

Answer 1

Ответ:

1) 4x+2>3x+1  

  4x-3x>1-2        

  x>-1

2) 2x+1>x+6

   2x-x>6-1

   x>5

3) 2(x+1.5)-(x-4)<2

   2x+3-x+4<2

   x+7<2

4) 3x+12≤x+17

   3x-x≤17-12

   2x≤5

   x≤2.5 или 5/2

5) 4(3-y)<12,1-3,5y

   12-4y<12.1-3.5y

   -4y=3.5y<12.1-12

   -0.5y<0.1

    y>-0.2

   

Пошаговое объяснение:

Answer 2

Solving the Inequalities

1) 4x + 2 > 3x + 1

To solve the inequality 4x + 2 > 3x + 1, we can start by isolating the variable x on one side of the inequality.

Subtracting 3x from both sides: 4x - 3x + 2 > 1 Simplifying: x + 2 > 1

Subtracting 2 from both sides: x + 2 - 2 > 1 - 2 Simplifying: x > -1

So, the solution to the inequality 4x + 2 > 3x + 1 is x > -1.

2) 2x + 1 > x + 6

To solve the inequality 2x + 1 > x + 6, we can start by isolating the variable x on one side of the inequality.

Subtracting x from both sides: 2x - x + 1 > 6 Simplifying: x + 1 > 6

Subtracting 1 from both sides: x + 1 - 1 > 6 - 1 Simplifying: x > 5

So, the solution to the inequality 2x + 1 > x + 6 is x > 5.

3) 2(x + 1.5) - (x - 4) < 2

To solve the inequality 2(x + 1.5) - (x - 4) < 2, we can start by simplifying the expression inside the parentheses.

Expanding and simplifying: 2x + 3 - x + 4 < 2 x + 7 < 2

Subtracting 7 from both sides: x + 7 - 7 < 2 - 7 Simplifying: x < -5

So, the solution to the inequality 2(x + 1.5) - (x - 4) < 2 is x < -5.

4) 3x + 12 ≤ x + 17

To solve the inequality 3x + 12 ≤ x + 17, we can start by isolating the variable x on one side of the inequality.

Subtracting x from both sides: 3x - x + 12 ≤ 17 Simplifying: 2x + 12 ≤ 17

Subtracting 12 from both sides: 2x + 12 - 12 ≤ 17 - 12 Simplifying: 2x ≤ 5

Dividing by 2 (since the coefficient of x is 2): x ≤ 5/2

So, the solution to the inequality 3x + 12 ≤ x + 17 is x ≤ 5/2.

5) 4(3 - y) < 12.1 - 3.5y

To solve the inequality 4(3 - y) < 12.1 - 3.5y, we can start by distributing the 4 on the left side of the inequality.

Expanding and simplifying: 12 - 4y < 12.1 - 3.5y

Adding 4y to both sides: 12 - 4y + 4y < 12.1 - 3.5y + 4y Simplifying: 12 < 12.1 + 0.5y

Subtracting 12.1 from both sides: 12 - 12.1 < 12.1 - 12.1 + 0.5y Simplifying: -0.1 < 0.5y

Dividing by 0.5: -0.1 / 0.5 < 0.5y / 0.5 Simplifying: -0.2 < y

So, the solution to the inequality 4(3 - y) < 12.1 - 3.5y is y > -0.2.

I hope this helps! If you have any other questions, feel free to ask.