Question

7(1-2x) + 5x ≥ 4 – 9x​

Answer 1

Ответ:

$R$

Объяснение:

$7(1-2x)+5x\geq 4-9x\\\\7-14x+5x\geq 4-9x\\\\-14x+5x+9x\geq 4-7\\\\0\geq -3\\\\x\in R$

Answer 2

To solve the inequality 7(1-2x) + 5x ≥ 4 - 9x, follow these steps:

1. Distribute the 7 on the left side of the inequality:

7 - 14x + 5x ≥ 4 - 9x

2. Combine like terms on both sides of the inequality:

-14x + 5x + 9x ≥ 4 - 7

This simplifies to:

0 ≥ -3

3. Since 0 is always greater than or equal to any negative number, the solution is:

0 ≥ -3

This means that the inequality is true for all values of x. In other words, it has no restrictions on the value of x, and the solution is all real numbers.

So, the solution to the inequality is x ∈ (-∞, ∞), which means that any real number for x will satisfy the inequality.