Illustrate on a number line all of the integers Greater than -3 but smaller than 5 . Smaller than 1 but greater then -7 .

Sure! Let's illustrate the specified integers on number lines and list them for clarity. --- ### 1. Integers Greater Than -3 but Smaller Than 5 **Condition:** \(-3 < x < 5\) **Integers in this range:** \(-2, -1, 0, 1, 2, 3, 4\) **Number Line Illustration:** ``` -5 -4 -3 -2 -1 0 1 2 3 4 5 6 | | | | | | • • • • • • • ``` - **Explanation:** - The dots (•) represent the integers that are **greater than -3** and **smaller than 5**. - Numbers to the left of -3 and to the right of 5 are not included. --- ### 2. Integers Smaller Than 1 but Greater Than -7 **Condition:** \(-7 < x < 1\) **Integers in this range:** \(-6, -5, -4, -3, -2, -1, 0\) **Number Line Illustration:** ``` -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 | | | | | | | • • • • • • • ``` - **Explanation:** - The dots (•) represent the integers that are **smaller than 1** and **greater than -7**. - Numbers to the left of -7 and to the right of 1 are not included. --- ### Summary - **First Range (\(-3 < x < 5\)):** - Integers: \(-2, -1, 0, 1, 2, 3, 4\) - **Second Range (\(-7 < x < 1\)):** - Integers: \(-6, -5, -4, -3, -2, -1, 0\) These illustrations help visualize where the integers lie on the number line based on the given conditions.