Question

Solve 8x + 6 < 18 - 2x

Answer 1

`x=(6)/(5)`

Explanation:

Solve for x:

`8x+6 < 18-2x`

Add 2x to both sides

`10x+6 < 18`

Subtract 6 on both sides

`10x < 12`

Divide by 10

`x=(12)/(10)`

Simplify fraction

`x=(6)/(5)`

Answer 2

To solve for x in the inequality 8x + 6 < 18 - 2x, we can use basic algebraic operations to isolate x on one side of the inequality:

8x + 6 < 18 - 2x
Adding 2x to both sides:
8x + 2x + 6 < 18
Combining like terms:
10x + 6 < 18
Subtracting 6 from both sides:
10x < 12
Dividing both sides by 10:
x < 1.2

Therefore, the solution for x is x < 1.2.