Question

3,3х-0,4(4-3х)≤9,3+5(0,7-Х)=

Answer 1

Пошаговое объяснение:

$\tt 3,3x - 0,4(4 - 3x) \leqslant 9,3 + 5(0,7 - x)$

$\tt 3,3x - 1,6 + 1,2x \leqslant 9,3 + 3,5 - 5x$

$\tt 4,5x - 1,6 \leqslant 12,8 - 5x$

$\tt 4,5x + 5x \leqslant 12,8 + 1,6$

$\tt 9,5x \leqslant 14,4$

$\bf x \leqslant \frac{144}{95}$

Answer 2

Let's solve the inequality step by step:

1. Solve the left side of the inequality: 3x - 0.4(4 - 3x) ≤ 9.3

First, distribute the -0.4 through the parentheses: 3x - 0.4 * 4 + 0.4 * 3x ≤ 9.3

Simplify the terms: 3x - 1.6 + 1.2x ≤ 9.3

Combine the x terms: 4.2x - 1.6 ≤ 9.3

2. Now, solve the right side of the inequality: 5(0.7 - x) = 9.3

First, distribute the 5 through the parentheses: 5 * 0.7 - 5 * x = 9.3

Simplify the terms: 3.5 - 5x = 9.3

3. Now, combine the x term on the left side: -5x = 9.3 - 3.5

4. Subtract the numbers on the right side: -5x = 5.8

5. Finally, solve for x by dividing both sides by -5: x = 5.8 / -5 x = -1.16

So the solution to the inequality is x ≤ -1.16.