Question

1. Given the inequality | 4 – 2v | < 8
a) Write the inequality as two separate inequalities without absolute value (1 point)
b) Solve the inequalities and write the solution set (2 points)
c) Graph the solution on a number line (2 points)
2. The formula for perimeter is 𝑷=𝟐𝒘+𝟐𝒍 where 𝑷 is the perimeter, 𝒘 is the width, and 𝒍 is the length.
The perimeter of a rectangle is at most 60 mm. The length of a rectangle is 8 mm longer than its width.
a) Draw and label a visual representation of the statement in bold above. (1 point)
b) Write an equation representing the length (𝒍 = 𝒍