Question

Решите неравенства 3-4(8x+3<_ -50x-45

Answer 1

Решение: (3х + 2) / (2х + 3) > 4; 3х + 2 > 4 * (2x + 3); 3x + 2 > 8x + 12; 8x - 3x < 2 – 12; 5x < –10; x < –2 □.

Answer 2

To solve the inequality 3 - 4(8x + 3) ≤ -50x - 45, we can follow these steps:

Step 1: Simplify the expression on both sides of the inequality. - Distribute the -4 to the terms inside the parentheses: 3 - 32x - 12 ≤ -50x - 45 - Combine like terms: -32x - 9 ≤ -50x - 45

Step 2: Get all the x terms on one side of the inequality. - Add 50x to both sides: -32x + 50x - 9 ≤ -50x + 50x - 45 - Simplify: 18x - 9 ≤ -45

Step 3: Get rid of the constant term on the same side as the variable. - Add 9 to both sides: 18x - 9 + 9 ≤ -45 + 9 - Simplify: 18x ≤ -36

Step 4: Solve for x by dividing both sides by the coefficient of x. - Divide by 18: (18x)/18 ≤ (-36)/18 - Simplify: x ≤ -2

Therefore, the solution to the inequality 3 - 4(8x + 3) ≤ -50x - 45 is x ≤ -2.

Please note that this solution is based on the given inequality and the steps used to solve it. If there are any mistakes or if you need further clarification, please let me know.