The solution set of which of the following equations is the set of real numbers that are 5 units from -3?

F. \(|x + 3| = 5\)

G. \(|x - 3| = 5\)

H. \(|x + 5| = 3\)

J. \(|x - 5| = 3\)

K. \(|x + 5| = -3\)

F . ∣ x + 3∣ = 5 b ec a u se : ∣ x + 3∣ = 5 ⟺ x + 3 = 5 ∨ x + 3 = − 5 x = 5 − 3 ∨ x = − 5 − 3 x = 2 ∨ x = − 8 ∣ − 3 − 2∣ = ∣ − 5∣ = 5 ∣ − 3 − ( − 8 ) ∣ = ∣ − 3 + 8∣ = ∣5∣ = 5

Answered by Anonymous | 2024-06-10

The correct **equation **that shows the set of real numbers 5 units from -3 is ∣ x + 3∣ = 5 , with solutions x = 2 and x = -8. ;

Answered by RachelMeghanMarkle | 2024-06-18

The correct equation representing numbers that are 5 units from -3 is option F: ∣ x + 3∣ = 5 . By solving this equation, we find that the two solutions are x = 2 and x = -8. Both solutions confirm the distance of 5 units from -3 when tested.
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Answered by Anonymous | 2024-10-09