QuestionAnswer
Studdy Solution
STEP 1
1. The inequality given is .
2. We need to determine which points lie in the shaded region, which represents the solution to the inequality.
3. The shaded region is below the line .
STEP 2
1. Understand the inequality and the graph.
2. Test each point against the inequality.
3. Determine which points satisfy the inequality.
STEP 3
Understand the inequality and the graph:
The inequality represents all points below the line . The line itself is not included because the inequality is strict (less than, not less than or equal to).
STEP 4
Test each point against the inequality:
- For :
$ y = 1, \quad 4x + 5 = 4(-1) + 5 = 1
\]
Since \( 1 \not< 1 \), \((-1, 1)\) does not satisfy the inequality.
- For :
$ y = 9, \quad 4x + 5 = 4(-1) + 5 = 1
\]
Since \( 9 \not< 1 \), \((-1, 9)\) does not satisfy the inequality.
- For :
$ y = 10, \quad 4x + 5 = 4(6) + 5 = 29
\]
Since \( 10 < 29 \), \((6, 10)\) satisfies the inequality.
- For :
$ y = 1, \quad 4x + 5 = 4(2) + 5 = 13
\]
Since \( 1 < 13 \), \((2, 1)\) satisfies the inequality.
STEP 5
Determine which points satisfy the inequality:
The points that satisfy the inequality are and .
The points that lie in the shaded region are:
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