Well, first, it is NOT (7x)^2, it is 7x^2. As symbolipoint suggested, complete the square or use the quadratic formula to determine the values of x at which 7x^2- 14x- 51= 0. Since the graph of this function is a parabola opening upward, the values of x satisfying the inequality will be less than the lower of the two zeros and larger than the larger. The values of x between the zeros satify "< 0".brwneyes02 said:Homework Statement
Solve the inequality
(2x-3)(4x+5)>(x+6)(x+6)
Homework Equations
factoring?
The Attempt at a Solution
I got to the point where
(7x)^2-14x-51>0 I can't solve this, because it can't be factored out. So am I doing something wrong?
Since the graph of this function is a parabola opening upward, the values of x satisfying the inequality will be less than the lower of the two zeros and larger than the larger. The values of x between the zeros satify "< 0".
An inequality problem is a mathematical problem that involves finding the relationship between two quantities that are not equal. Inequality problems commonly use symbols such as <, >, ≤, and ≥ to represent the relationship between the two quantities.
To solve an inequality problem, you must first isolate the variable on one side of the inequality sign. Then, you can use inverse operations to manipulate the equation and find the value of the variable. Finally, you must state the solution using the appropriate inequality symbol.
No, while equations and inequalities both use mathematical operations, the way they are solved is different. In an equation, the goal is to find the specific value of the variable that makes the equation true, while in an inequality, the goal is to find the range of values that make the inequality true.
Some important rules to remember when solving an inequality problem include: multiplying or dividing both sides by a negative number will change the direction of the inequality sign, when multiplying or dividing by a variable, you must consider both positive and negative values, and when adding or subtracting a negative number, you must change the sign of the number.
To check your solution to an inequality problem, you can substitute the value of the variable into the original inequality and see if it satisfies the inequality. If it does, then your solution is correct. If it does not, then you may need to rework your solution or check for any errors in your calculations.