Solve the inequality. 4x² + 2 0 A) ($\phi$) D) all reals

Question

Solve the inequality. 4x² + 2 > 0 A) ($\phi$) D) all reals

Quizplus · Accepted Answer

To solve the inequality, we need to isolate x on one side of the inequality sign:

4x + 2 > 0

Subtracting 2 from both sides:

4x > -2

Dividing both sides by 4 (note that since 4 is positive, we don't need to flip the inequality sign):

x > -1/2

This tells us that any value of x that is greater than -1/2 will satisfy the inequality. Since this is true for all real numbers, the solution set is all reals. Therefore, the answer is choice D.

Solve the Inequality ϕ\phiϕ ) B) C) D) All Reals

Solve the Inequality $\phi$ )
B)
C)
D) All Reals