Question

solve for x and graph the solution on the number line below. -2x + 8 > 0 or -12 ≥ -2x + 8 answer attempt 1 out of 2 inequality notation: number line: a number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 marked submit answer

Explanation:

Step1: Solve \(-2x + 8>0\)

Subtract 8 from both sides: \(-2x> - 8\)
Divide both sides by - 2 (reverse inequality): \(x < 4\)

Step2: Solve \(-12\geq - 2x + 8\)

Subtract 8 from both sides: \(-20\geq - 2x\)
Divide both sides by - 2 (reverse inequality): \(10\leq x\) or \(x\geq10\)

Step3: Combine solutions

The solution is \(x < 4\) or \(x\geq10\)

Answer:

Inequality Notation: \(x < 4\) or \(x\geq10\)
For the number line:

• For \(x < 4\): Draw an open circle at 4 and shade to the left.
• For \(x\geq10\): Draw a closed circle at 10 and shade to the right.