Quadratic inequalities are equations that take on the format of ax² + bx + c > 0 or ax² + bx + c < 0. Solutions can be found by methods such as factoring, employing the quadratic formula, or completing the square. The set of solutions encompasses the x values that satisfy the inequality.
| Topic | Problem | Solution |
|---|---|---|
| None | The cost to produce $x$ units of wire is $C=45 x+… | Let's denote the number of units of wire produced and sold as 'x'. |
| None | Rita bakes pies at a bakery. The number of pies s… | The problem is asking for the range of values that \(x\) can take, given the two inequalities \(2x … |
| None | For the function $f(x)=x^{2}+5 x-36$ solve the fo… | Factor the quadratic expression on the left side of the inequality, which gives \((x - 4)(x + 9)\). |
| None | Solve the inequality. \[ 2 x-4 x \leq x+2 \] The … | The inequality is in the form of a linear inequality. To solve it, we need to simplify the inequali… |
| None | A company's daily profit from the production and … | The company's daily profit from the production and sale of electrical components can be described b… |
| None | Solve the following inequality. \[ x^{2}-14 x+40<… | The given inequality is a quadratic inequality. To solve it, we first need to factorize the quadrat… |
| None | Solve the inequality for $v$. \[ -23+7(5-v) \leq-… | Distribute the 7 on the left side and the -3 on the right side of the inequality to get \(-23 + 35 … |
| None | Solve the inequality $f(x)>0$, where $f(x)=x^{2}(… | Given the inequality $f(x)>0$, where $f(x)=x^{2}(x+3)$, we are looking for the values of $x$ where … |
| None | Question 11 1 pts Which graph represents the solu… | \(-2(5+x) < 8\) |