Question

А)9х≤-18 б)-6х>36 в)0,7(х-2)+1,3х<х+1 г) 1/6х<5

Answer 1

Решение на фото........

Answer 2

Let's solve each of the inequalities step by step:

a) 9x ≤ -18

To solve this inequality, we need to isolate the variable x. We'll divide both sides of the inequality by 9, but since we're dividing by a negative number, the direction of the inequality will flip:

x ≤ -18/9 x ≤ -2

So the solution to the inequality is x ≤ -2.

b) -6x > 36

To solve this inequality, we'll divide both sides by -6, which will flip the direction of the inequality:

x < 36/(-6) x < -6

Therefore, the solution to the inequality is x < -6.

c) 0.7(x - 2) + 1.3x < x + 1

First, we'll simplify the left side of the inequality:

0.7x - 1.4 + 1.3x < x + 1

Combine like terms:

2x - 1.4 < x + 1

Next, we'll isolate the variable x by subtracting x from both sides:

2x - x - 1.4 < 1

x - 1.4 < 1

Now, we'll add 1.4 to both sides:

x < 1 + 1.4

x < 2.4

Thus, the solution to the inequality is x < 2.4.

d) (1/6)x < 5

To solve this inequality, we'll multiply both sides by 6 to get rid of the fraction:

6 * (1/6)x < 6 * 5

x < 30

Therefore, the solution to the inequality is x < 30.