Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box? –3 –1 1 3

The box should be replaced with 3

Step-by-step explanation:

Represent the box with n

Given

Required

Determine the value of n

Open Bracket:

Collect Like Terms

Factorize the expression on the left hand side

Divide both sides by x - 3

Hence:

The box should be replaced with 3

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5