# How would you solve the following inequality

posted by .

How would you solve the following inequality algebraically?

0.5(x + 2)^2 (x - 4) > 2x + 3

• How would you solve the following inequality -

I would graph it to get close and look for intersections numerically.
You know that the cubic at left hits the x axis three times, grazes at x = -2 and crosses at x = 4
it starts at the lower left, y is big negative if x is big negative
then it bounces off the x axis at x = -2 and drips down to cross the y axis at y = -8 then goes up through x = 4 to x big + x and big +y on the right
the straight line on the right goes through (0,3) and (-3/2,0)
The curve crosses the line somewhere between x - -2and x = 0
You can see that the curve is above the line at the lower left but may cross for large negative x and it dips below at the lower right but might come up and cross agin for large + x
I would have to search for those crossings numerically.

• How would you solve the following inequality -

ps
Once you have one root numerically, you can factor that out and be left with a quadratic.

## Similar Questions

1. ### Pre-Algebra

Solving it would give u x = -4...but I am not sure how you would graph that. You see, a linear inequality is an inequality that has one of the following four forms: Ax + By < C Ax + By > C Ax + By < C Ax + By > C PLZ!Somebody …
2. ### Algebra

Solve the following linear inequality graphically. x+2y<4 x-y<5 Each inequality is satisfied in a particular region of an x,y plot. The first inequality is satisfied below the line y = -x/2 + 2, for example. The second inequality …
3. ### Algebra 2(check) cont..

1)solve the inequality -3(r-11)+15>_9 my answer = r<_13 2)solve the inequality -2<4z+10<_12 my answer = -3<z<_1/2 3)solve the inequality 2x-5<_10 or 33-4x<5 my answer is x<_15/2 or <7 4)solve the inequality …
4. ### algebra II

14. Solve the inquality -3(r-11) + 15 equal or greater than 9. 15.Solve the inequality: -2 < 4z = 10 lessthan or equal to 12. 16. Solve the inequality 2x-5 less than or equal to 10 or 33 - 4x < 5 17. Solve the inequality 3 | …
5. ### Algebra

I don't get how you would know which way to shade the inequality when it's true or false. For example the inequality 2x+3y> 12 When I solve it it's y>-2/3x+4 But when I graph the line how would I know which side to shade?
6. ### Algebra

Solve each inequality algebraically:how do I solve this problem?
7. ### algebra URGENT HELP

analyze the graph of the following function solve R(x)=x(x-16)^2 /(x+11) solve the following inequality write solution in interval notation x+14/x-8 less than or equal to 1
8. ### Solve the inequality

Solve the inequality algebraically 8x-3 ≥ -3x^2
9. ### equations & inequalities

1.simplify this expression 4p+9+(-7p)+2=?
10. ### Math-college

Explanation of why the following statement is incorrect. (x + 3)(x -4) < 7, and explain why it is incorrect. To solve (x + 3)(x -4) < 7, start by setting (x + 3) = 7 and (x - 4) = 7. Now solve the inequality. Provide a detailed …

More Similar Questions