Question

solve for x and graph the solution on the number line below. -25 > -2x - 5 > -29 inequality notation: answer attempt 1 out of 5 ^ ∨ ∧ ∨ or

Explanation:

Step1: Add 5 to all parts

Starting with \(-25 > - 2x-5 > - 29\), we get \(-25 + 5> - 2x-5 + 5> - 29+5\), which simplifies to \(-20 > - 2x> - 24\).

Step2: Divide all parts by -2

When dividing an inequality by a negative number, the direction of the inequality signs changes. So \(\frac{-20}{-2}<\frac{-2x}{-2}<\frac{-24}{-2}\), resulting in \(10 < x<12\).

Answer:

The solution in inequality notation is \(10 < x<12\). On a number - line, we would draw an open circle at \(x = 10\) and an open circle at \(x = 12\) and shade the region between them.