Question

6(х+3.2)-5.6 > 4х+2.5

Answer 1

$6(x+3.2)-5.6 > 4x+2.5\\\\6x+19.2-5.6 > 4x+2.5\\\\6x-4x> 2.5-19.2+5.6\\\\2x>-11.1\ \ /:(-2)\\\\x>-5.55\\\\x\in(-5.55;+\infty)$

Answer 2

To solve the inequality 6(x + 3.2) - 5.6 > 4x + 2.5, follow these steps:

Step 1: Distribute the coefficients 6(x + 3.2) - 5.6 becomes 6x + 6(3.2) - 5.6, which simplifies to 6x + 19.2 - 5.6.

Step 2: Combine like terms 6x + 19.2 - 5.6 simplifies to 6x + 13.6.

Step 3: Rewrite the inequality The inequality now becomes 6x + 13.6 > 4x + 2.5.

Step 4: Isolate the variable Subtract 4x from both sides to isolate the x term on the left side: 6x - 4x + 13.6 > 4x - 4x + 2.5 2x + 13.6 > 2.5.

Step 5: Isolate the variable (continued) Subtract 13.6 from both sides to get x alone: 2x + 13.6 - 13.6 > 2.5 - 13.6 2x > -11.1.

Step 6: Solve for x Finally, divide both sides by 2 to solve for x: 2x/2 > -11.1/2 x > -5.55.

So the solution to the inequality is x > -5.55.