Question

7-3х<1 1,8-х<1,9 решите систему неравенств

Answer 1

Ответ:

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Answer 2

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

1. 7 - 3x < 1: To solve this inequality, we'll isolate the variable x. Let's subtract 7 from both sides: 7 - 7 - 3x < 1 - 7 -3x < -6 Now, divide both sides by -3, remembering that when we divide an inequality by a negative number, we need to reverse the inequality sign: x > -6 / -3 x > 2

2. 1.8 - x < 1.9: Subtract 1.8 from both sides: 1.8 - 1.8 - x < 1.9 - 1.8 -x < 0.1 Multiply both sides by -1, again reversing the inequality sign: x > -0.1

So, the solution to the system of inequalities is x > 2 and x > -0.1. However, since we are looking for values that satisfy both inequalities simultaneously, we can take the intersection of the two solution sets.

The solution is x > 2 because any value greater than 2 will automatically be greater than -0.1 as well. Therefore, the solution to the system of inequalities is x > 2.