Question Type 2: Finding solutions to quadratic inequalities by converting into ax^2+bx+c > or < 0 and checking intervals Exercises

Find the set of $x$ satisfying $4x^2-12x+9\le0$.

Determine the solution set of $4x^2+6x-10>0$.

Solve the inequality $2x^2-3x-2>0$. [4 marks]

Solve $x^2+2x+5<4x+1$.

Solve $-2x^2+8x+6\ge0$.

Find the set of values of $x$ for which $-3x^2+12x-9 \ge 0$.

Find all $x$ such that $x^2+4x+3\ge0$.

Solve the inequality $x^2-2x>3x-6$.

Solve the inequality $x^2-5x+6<0$.

Solve the inequality $5-6x-x^2<0$.

Find all real $x$ such that $6x^2-5x+1>2x^2+7x-3$.

Find the set of values of $x$ for which $3x^2+x<4$.