laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level)…

laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. which two equations can be used to find the minimum and maximum depths laurie wants to stay between?\n-30 - x = 10 and -30 - x = -10\n-30 + x = 10 and -30 + x = -10\nx + 10 = 30 and x + 10 = -30\nx - 10 = 30 and x - 10 = -30

laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. which two equations can be used to find the minimum and maximum depths laurie wants to stay between?\n-30 - x = 10 and -30 - x = -10\n-30 + x = 10 and -30 + x = -10\nx + 10 = 30 and x + 10 = -30\nx - 10 = 30 and x - 10 = -30

Answer

Explanation:

Step1: Analyze the relationship between current depth and desired depth range

Let (x) be the depth Laurie wants to stay at. The distance between (x) and (- 30) should be within (10) feet. The formula for the distance between two numbers (a) and (b) is (|a - b|). In this case, (|x-(-30)|=|x + 30|). When (|y|=k) ((k\geq0)), (y = k) or (y=-k). So (x+30 = 10) or (x + 30=-10), which can be rewritten as (-30+x=10) and (-30 + x=-10) (by subtracting (30) from both sides of (x + 30=10) and (x + 30=-10))

Answer:

(\boxed{-30 + x=10\ \text{and}\ -30 + x=-10})