Question

2( х - 5 )+ 17 > х + 4.

Answer 1

2x-10+17>x+4
2x-x>10-17+4
x>-3

Answer 2

2х-10+17-х-4>0
х+3>0
х>-3

Answer 3

Let's start by simplifying the left-hand side of the inequality using the distributive property:

2(х - 5) + 17 = 2х - 10 + 17 = 2х + 7

Substituting this expression into the original inequality, we get:

2х + 7 > х + 4

Now we can isolate the variable х on one side of the inequality by subtracting х from both sides:

2х - х + 7 > 4

Simplifying this expression, we get:

х + 7 > 4

Subtracting 7 from both sides, we get the final solution:

х > -3

Therefore, the solution to the inequality is all values of х greater than -3.