Question Solve the inequality Solve the inequality by testing the values in the interval Solve for x x∈∅Alternative Form No solution Evaluate x2+x+1<0Rewrite the expression x2+x+1=0Add or subtract both sides x2+x=−1Add the same value to both sides x2+x+41=−1+41Simplify the expression (x+21)2=−43Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x x∈/RThere are no key numbers,so choose any value to test,for example x=0 x=0Solution More Steps Evaluate 02+0+1<0Simplify More Steps Evaluate 02+0+1Calculate 0+0+1Removing 0 doesn't change the value,so remove it from the expression 1 1<0Check the inequality false x∈∅Alternative Form No solution Show Solution