Question

Решите неравенство 1) 1/3х>2...2)2-7х>0...3)6(у-1,5)-3,4>4у-2,4

Answer 1

1) 1/3х>2
х>2÷1/3
х>6
2) 2-7х>0
-7х>-2
х>2/7
3) 6(у-1,5)-3,4>4у-2,4
6у-9-3,4>4у-2,4
6у-4у>-2,4+12,4
2у>10
у>5

Answer 2

1. 1/3x > 2

To solve this inequality, we can multiply both sides of the inequality by 3 to eliminate the fraction:

3 * (1/3x) > 3 * 2 1x > 6 x > 6

So the solution to the inequality is x > 6.

2. 2 - 7x > 0

Let's solve this inequality step by step:

2 - 7x > 0 -7x > -2 (Subtracting 2 from both sides) x < 2/7 (Dividing both sides by -7, remember to flip the inequality since we divided by a negative number)

So the solution to the inequality is x < 2/7.

3. 6(y - 1.5) - 3.4 > 4y - 2.4

Let's solve this inequality step by step:

6(y - 1.5) - 3.4 > 4y - 2.4 6y - 9 - 3.4 > 4y - 2.4 (Distribute the 6) 6y - 12.4 > 4y - 2.4 (Combine like terms)

Next, we'll isolate the y terms on one side by subtracting 4y from both sides:

6y - 4y - 12.4 > -2.4

Simplifying further:

2y - 12.4 > -2.4

Next, we'll isolate the y term by adding 12.4 to both sides:

2y - 12.4 + 12.4 > -2.4 + 12.4

Simplifying further:

2y > 10

Finally, we divide both sides by 2 to solve for y:

y > 5

So the solution to the inequality is y > 5.