What is the solution set to the inequality 5(x − 2)(x + 4) > 0? O {x| x>-4 and x <2}
O {x| X <-4 or x > 2}
O {x| X <-2 or x>4}
O {x| >-2 or x <4}
Please will give brainliest

B. {x| x > 2 or x < -4}

Step-by-step explanation:

Given

Required

Solve

Start by dividing both sides by 5

Find critical point of the inequality by changing the inequality to equality

Split the above expression

Make x the subject of formula in both

Check the intervals in between the critical points

Set: --- This works in the inequality

Set: --- This doesn't work in the inequality

Set: --- This doesn't works in the inequality

Set: --- This works in the inequality

Hence, the solution is: {x| x > 2 or x < -4}

step-by-step explanation:

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