Question

Реши неравенство 3ax – 4x – 5 > 0 при условии, что a <– 1

Answer 1

  +        -        +
------o/////////o------->
    -5/7        0

Answer 2

Solving the Inequality

To solve the inequality 3ax – 4x – 5 > 0 with the condition that a < –1, we can follow these steps:

1. Factor out the common term 'x' from the first two terms. 2. Use the condition a < –1 to determine the range of values for 'a' that satisfy the inequality.

Step 1: Factoring the Inequality

The inequality 3ax – 4x – 5 > 0 can be rewritten as x(3a – 4) – 5 > 0.

Step 2: Determining the Range of 'a'

Given the condition a < –1, we can determine the range of values for 'a' that satisfy the inequality. Since a < –1, the expression 3a – 4 will be less than 0 when a < 4/3.

Therefore, the range of values for 'a' that satisfy the inequality is a < 4/3.

This information should help you solve the inequality 3ax – 4x – 5 > 0 under the given condition.

If you have any further questions or need additional assistance, feel free to ask!