Question

5(x-1) +3 (x+9) > 7 (x-3) +8

Answer 1

5х-5+3х+27>7х-21+8
8х+22>7х-13
х>-35

Answer 2

To solve the inequality $5(x-1) + 3(x+9) > 7(x-3) + 8$, follow these steps:

Step 1: Distribute the coefficients on both sides of the inequality: $5x - 5 + 3x + 27 > 7x - 21 + 8$.

Step 2: Combine like terms on both sides: $8x + 22 > 7x - 13$.

Step 3: Subtract $7x$ from both sides to isolate the $x$ term on one side: $8x - 7x + 22 > -13$.

Simplify: $x + 22 > -13$.

Step 4: Subtract 22 from both sides to solve for $x$: $x > -13 - 22$.

Simplify: $x > -35$.

So, the solution to the inequality is $x > -35$. This means that any value of $x$ greater than -35 will satisfy the inequality.