Question

2 ) -18х>-9;3)4+х <1+hх;4)4+12х>7+13х​

Answer 1

2) x<1/2

3) x€ кружок и палочка

4) x<-3

Answer 2

2. To solve the inequality -18x > -9, we can divide both sides by -18, remembering to reverse the inequality sign since we are dividing by a negative number.

Dividing both sides by -18:

x < 1/2

So the solution to the inequality is x is less than 1/2, or in interval notation: (-∞, 1/2).

3. To solve the inequality 4+x < 1+h*x, we can first simplify it by subtracting x from both sides:

4 < 1 + (h-1)*x

Next, we can subtract 1 from both sides:

3 < (h-1)*x

Finally, we can divide both sides by (h-1), remembering to reverse the inequality sign if (h-1) is negative:

If h-1 is positive:

x > 3/(h-1)

So the solution to the inequality is x is greater than 3/(h-1), or in interval notation: (3/(h-1), ∞).

If h-1 is negative:

x < 3/(h-1)

So the solution to the inequality is x is less than 3/(h-1), or in interval notation: (-∞, 3/(h-1)).

4. To solve the inequality 4+12x > 7+13x, we can simplify it by subtracting 4 and 13x from both sides:

-9x > -3

Next, we can divide both sides by -9, remembering to reverse the inequality sign since we are dividing by a negative number:

x < 1/3

So the solution to the inequality is x is less than 1/3, or in interval notation: (-∞, 1/3).