Question

Can someone help me solve this and explain the process? -5<2d-1<3

Answer 1

-5<2d-1<3

Add 1 to each section of the interval inequality because it does not contain the variable we are trying to solve for.
-5+1<2d<3+1

Add 1 to -5 to get -4.
-4<2d<3+1

Add 1 to 3 to get 4.
-4<2d<4

Divide each term in the inequality by 2.
-(4)/(2)<(2d)/(2)<(4)/(2)

Cancel the common factor of 2 in -(4)/(2).
-2<(2d)/(2)<(4)/(2)

Cancel the common factor of 2 in (2d)/(2).
-2<d<(4)/(2)

Cancel the common factor of 2 in (4)/(2).
-2<d<2

Convert the solution to set notation.
(-2,2)


Hope this helps. :)

Answer 2

Thank you so much. I understand it a little better now!

Answer 3

ǝɯoɔlǝʍ ǝɹ,noʎ :)