Solve the inequality and express your answer in interval notation. x^2+6x+7<0

Step-by-step explanation:Notation x^2-6x-7<0x2−6x−7<0Convert the inequality to an equation.x2−6x−7=0Factor x2−6x−7 using the AC method.Tap for more steps...(x−7)(x+1)=0Set x−7=0 and solve for x.Set the factor equal to 0.x−7=0Add 7 to both sides of the equation.x=7Set x+1=0 and solve for x.x=−1Consolidate the solutions.x=7,−1Use each root to create test intervals.x<−1−1<x<7x>7Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.Tap for more steps...x<−1 False−1<x<7 Truex>7 FalseThe solution consists of all of the true intervals.−1<x<7Convert the inequality to interval notation.(−1,7)