Question

Решите систему неравенств {5х-8>0 {3х+4>0 Реклама googletag.cmd.push(function() { googletag.display('gpt-ad-brainly_rectangle_in_question'); }); Попроси больше объяснений СледитьОтметить нарушение Светлана739 19.11.2015 Войти чтобы добавить комментарий googletag.cmd.push(function() { googletag.display('gpt-ad-brainly_rectangle_below-question-first'); }); googletag.cmd.push(function() { googletag.display('gpt-ad-brainly_rectangle_below-question-second'); }); Ответы и объяснения irkaromумныйответ: х∈ (1,6; +∞)

Answer 1

To solve the system of inequalities {5x-8>0, 3x+4>0}, we need to find the values of x that satisfy both inequalities.

Solving the first inequality:

5x - 8 > 0

To solve this inequality, we need to isolate x. Let's add 8 to both sides of the inequality:

5x - 8 + 8 > 0 + 8 5x > 8

Next, divide both sides of the inequality by 5:

(5x)/5 > 8/5 x > 8/5

So the first inequality is satisfied when x is greater than 8/5.

Solving the second inequality:

3x + 4 > 0

To solve this inequality, we need to isolate x. Let's subtract 4 from both sides of the inequality:

3x + 4 - 4 > 0 - 4 3x > -4

Next, divide both sides of the inequality by 3:

(3x)/3 > -4/3 x > -4/3

So the second inequality is satisfied when x is greater than -4/3.

Combining the solutions:

To find the values of x that satisfy both inequalities, we need to find the intersection of the solution sets for each inequality.

The first inequality, x > 8/5, represents all values of x greater than 8/5. The second inequality, x > -4/3, represents all values of x greater than -4/3.

Therefore, the solution to the system of inequalities {5x-8>0, 3x+4>0} is x > 8/5.

I hope this helps! Let me know if you have any further questions.