Jacob is solving the inequality shown. Part of his work is shown.What would be an appropriate next step for Jacob to take? 2x^2+5xlt 3 Set each factor equal to 0 and solve Multiply the inequality by (1)/(2) Use the FOIL method to expand the inequality. Add 1 to each side.

## Step 1:The problem states that Jacob has already factored the quadratic inequality into the form \((2x-1)(x+3) < 0\). This means he has already converted the inequality into a product of two factors.## Step 2:The next logical step would be to set each factor equal to zero and solve. This is because the product of two factors is zero if and only if at least one of the factors is zero. By setting each factor equal to zero, we can find the values of that make the inequality equal to zero. These values are the critical points that divide the number line into intervals where the inequality is either always true or always false.### and ## Step 3:Solving the two equations gives the critical points.### and