Question

solve the inequality and graph the solution.\\(\frac{h}{-2} + 2 > 1\\)to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.\\(-5\\) \\(-4\\) \\(-3\\) \\(-2\\) \\(-1\\) \\(0\\) \\(1\\) \\(2\\) \\(3\\) \\(4\\) \\(5\\)submit

Explanation:

Step1: Subtract 2 from both sides

To isolate the term with \( h \), we subtract 2 from both sides of the inequality \(\frac{h}{-2}+2 > 1\). This gives us \(\frac{h}{-2}+2 - 2>1 - 2\), which simplifies to \(\frac{h}{-2}>-1\).

Step2: Multiply both sides by -2 (and reverse inequality)

When we multiply or divide an inequality by a negative number, we must reverse the inequality sign. So, multiplying both sides of \(\frac{h}{-2}>-1\) by -2 gives \(h < (-1)\times(-2)\), which simplifies to \(h < 2\).

Answer:

The solution to the inequality is \(h < 2\). To graph this, plot an open circle at 2 (since the inequality is strict, \(h
eq2\)) and draw an arrow to the left (indicating all values less than 2).