Question

solve the inequality and graph the solution.
\\(\frac{w}{-6} + 4 > 3\\)
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.
-10 -8 -6 -4 -2 0 2 4 6 8 10
submit
work it out

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( w \), we subtract 4 from both sides of the inequality \(\frac{w}{-6}+4 > 3\). This gives us \(\frac{w}{-6}+4 - 4>3 - 4\), which simplifies to \(\frac{w}{-6}>-1\).

Step2: Multiply both sides by -6 (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 \(\frac{w}{-6}>-1\) by -6 gives \(w < (-1)\times(-6)\). Calculating the right - hand side, we get \(w < 6\).

Answer:

The solution to the inequality is \(w < 6\). To graph this, we plot an open circle at 6 (since the inequality is strict, \(w
eq6\)) and draw an arrow to the left (indicating all values less than 6).