SOLUTION: Solve the inequality algebraically. 7x-6>=-3x^2 The solution set is __? (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.

Algebra.Com
Question 632126: Solve the inequality algebraically.
7x-6>=-3x^2
The solution set is __?
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.)

Answer by blacksaibot(4)   (Show Source): You can put this solution on YOUR website!
3x^2 + 7x - 6 >= 0
(3x-2)(x+3)

3x-2 = 0
x = (2/3)

x+3 = 0
x = -3

Solutions: x = (2/3) and -3

RELATED QUESTIONS

Solve the following inequality algebraically. 9x - 5 >= -2x^2 (Type your answer in... (answered by lwsshak3)
Solve algebraically. 1−7y≥12−4y Write the solution in​... (answered by mahikab)
Solve the polynomial inequality and graph the solution set on a real number line.... (answered by josgarithmetic)
Solve the inequality. Express your answer using set notation or interval notation. Graph... (answered by ikleyn)
3.Solve the following inequality 5(x^2-1)>-24x The solution set is ______(type answer in (answered by lwsshak3)
Solve the following inequality: (x-6)^2(x+9)< 0 (Type your answer in interval... (answered by lwsshak3)
Solve the inequality algebraically. Write the solution in interval notation. |4x-5| is (answered by robertb)
Use the given functions to find all values of x that satisfy the inequality f(x)≥... (answered by josmiceli)
Solve the inequality. Write the solution set in interval notation. 2(x+6)+3 ≥ 4+3x (answered by josgarithmetic,MathTherapy)