Question

2(x-3)< 8 or x+5> 6

Solve the compound inequality

Answer 1

Answer: 1. Solve for 2(x - 3) Step 1: Simplify both sides of the equation. Step 2: Add 6 to both sides. Step 3: Divide both sides by 2. 2. Solve for x + 5 > 6. Step 1: Subtract 5 from both sides.

Explanation:

Answer 2

1 < x < 7

Explanation:

1. Solve for 2(x - 3)

Step 1: Simplify both sides of the equation.

• 
  `(2)(x)+(2)(-3)<8`
• 
  `2x - 6 < 8`

Step 2: Add 6 to both sides.

• 
  `2x - 6 + 6< 8 + 6`
• 
  `2x < 14`

Step 3: Divide both sides by 2.

• 
  `(2x)/(2) <(14)/(2)`
• 
  `x< 7`

2. Solve for x + 5 > 6

Step 1: Subtract 5 from both sides.

• 
  `x + 5 - 5 > 6 - 5`
• 
  `x > 1`

3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.

Therefore, the answer is 1 < x < 7.