Question

how to make sign chats while solving inequality

Answer 1

Write the polynomial in the correct form. The polynomial must be written in descending order and must be less than, greater than, less than or equal to, or greater than or equal to zero.Step 2:Find the key or critical values. To find the key/critical values, set the equation equal to zero and solve.Step 3:Make a sign analysis chart. To make a sign analysis chart, use the key/critical values found in Step 2 to divide the number line into sections.Step 4:Perform the sign analysis. To do the sign analysis, pick one number from each of the sections created in Step 3 and plug that number into the polynomial to determine the sign of the resulting answer. The sign of this answer (positive or negative) will be sign of the entire section. You can check different number from the same section if you want to verify your answer.Step 5:Use the sign analysis chart to determine which sections satisfy the inequality. If the inequality is less than zero or less than or equal to zero, then you want all of the negative sections found in the sign analysis chart. If the inequality is greater than zero or greater than or equal to zero, then you want all of the positive sections found in the sign analysis chart.Step 6:Use interval notation to write the final answer.