Math

Question Find values of yy less than 5 on the number line range of -11 to 11.

Studdy Solution

STEP 1

Assumptions
1. We are given the inequality y<5 y < 5 .
2. We need to represent this inequality on a number line ranging from -11 to 11.

STEP 2

Understand the inequality.
The inequality y<5 y < 5 means that y y can take any value less than 5.

STEP 3

Determine the critical point.
The critical point for the inequality is the value 5, which is not included in the solution set since the inequality is strict ( y<5 y < 5 , not y5 y \leq 5 ).

STEP 4

Draw a number line.
Draw a horizontal line and mark points from -11 to 11 at equal intervals.

STEP 5

Mark the critical point.
Place an open circle at the point corresponding to the number 5 on the number line to indicate that 5 is not included in the solution set.

STEP 6

Shade the solution region.
Shade the region on the number line to the left of the open circle at 5 to represent all numbers less than 5.

STEP 7

Indicate the direction of the inequality.
Draw an arrow starting from the open circle at 5 and pointing towards the left, indicating that all values to the left of 5 are included in the solution set.
The solution to the inequality y<5 y < 5 is represented on the number line by an open circle at 5 and a shaded region to the left of 5, extending towards -11.

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