Question

5x+1больще либо равно 3х-7​

Answer 1

Ответ:

Объяснение:

$5x+1\geq 3x-7\\5x+1+7\geq 3x-7+7\\5x+8\geq 3x\\5x-3x+8\geq 3x-3x\\2x+8\geq 0\\2x\geq -8\\x\geq н*-8\\x\geq -4\\x\in[-4;+\infty)$

Answer 2

To determine if 5x + 1 is greater than or equal to 3x - 7, we can solve the inequality by isolating the variable x.

5x + 1 ≥ 3x - 7

First, let's subtract 3x from both sides of the inequality:

5x - 3x + 1 ≥ -7

Simplifying further:

2x + 1 ≥ -7

Next, we'll subtract 1 from both sides of the inequality:

2x + 1 - 1 ≥ -7 - 1

Simplifying again:

2x ≥ -8

Finally, we divide both sides of the inequality by 2 (since the coefficient of x is 2):

(2x) / 2 ≥ (-8) / 2

x ≥ -4

Therefore, the solution to the inequality 5x + 1 ≥ 3x - 7 is x ≥ -4. This means that any value of x that is greater than or equal to -4 satisfies the inequality.