Help!! Solving absolute value inequalities

48. or

51. or

54. or

57. or

Step-by-step explanation:

48.

-There are two equations:

Equation 1:

      or

Equation 2:

Solving equation 1:

(Inequality sign changed, because of dividing by a negative number)

-Solving equation 2:

(Inequality sign changed, because of dividing by a negative number)

-Answers:

or

51.

-There are two equations:

Equation 1:

    or

Equation 2:

-Solving equation 1:

-Solving equation 2:

Answers:

or

54.

-There are two equations:

Equation 1:

     or

Equation 2:

-Solving equation 1:

-Solving equation 2:

-Answers:

or

57.

-There are two equations:

Equation 1:

     or

Equation 2:

-Solving equation 1:

Solving equation 2:

Answers:

or

And we are finished.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116