Question

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend

Ted lives about 15 m below her. Write and solve a compound inequality to describe the
elevation of Ted's house.

Answer 1

Ted's house is between 98 m and 105 m above sea level.

Step-by-step explanation:

A compound inequality in mathematics is an expression that combines two or more simple inequalities using the logical connectors "and" or "or." It represents a range of values satisfying both or either of the component inequalities.

Sakura's house is at an elevation between 113 m and 120 m above sea level.

Let x be the elevation of Sakura's house.

So, 120 > x > 113

Now Ted lives about 15 m below her

Ted's house elevation = x - 15

So, The compound inequality to describe the elevation of Ted's house,

120 > x - 15 > 113

Adding 15 to the inequality we get,

120 + 15 > x - 15 + 15 > 113 + 15

Solving we get,

135 > x > 128

which is the required compound inequality.

Thus, the compound inequality to describe the elevation of Ted's house is 135 > x > 128.