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## Sagot :

Let's check each point step-by-step:

1.

**Point [tex]\((-3, -2)\)[/tex]**:

[tex]\[ y = -2 \][/tex]

[tex]\[ 0.5x + 2 = 0.5(-3) + 2 = -1.5 + 2 = 0.5 \][/tex]

We need to check if [tex]\( y < 0.5 \)[/tex]:

[tex]\[ -2 < 0.5 \quad \text{(True)} \][/tex]

So, [tex]\((-3, -2)\)[/tex] is a solution.

2.

**Point [tex]\((-2, 1)\)[/tex]**:

[tex]\[ y = 1 \][/tex]

[tex]\[ 0.5x + 2 = 0.5(-2) + 2 = -1 + 2 = 1 \][/tex]

We need to check if [tex]\( y < 1 \)[/tex]:

[tex]\[ 1 < 1 \quad \text{(False)} \][/tex]

So, [tex]\((-2, 1)\)[/tex] is not a solution.

3.

**Point [tex]\((-1, -2)\)[/tex]**:

[tex]\[ y = -2 \][/tex]

[tex]\[ 0.5x + 2 = 0.5(-1) + 2 = -0.5 + 2 = 1.5 \][/tex]

We need to check if [tex]\( y < 1.5 \)[/tex]:

[tex]\[ -2 < 1.5 \quad \text{(True)} \][/tex]

So, [tex]\((-1, -2)\)[/tex] is a solution.

4.

**Point [tex]\((-1, 2)\)[/tex]**:

[tex]\[ y = 2 \][/tex]

[tex]\[ 0.5x + 2 = 0.5(-1) + 2 = -0.5 + 2 = 1.5 \][/tex]

We need to check if [tex]\( y < 1.5 \)[/tex]:

[tex]\[ 2 < 1.5 \quad \text{(False)} \][/tex]

So, [tex]\((-1, 2)\)[/tex] is not a solution.

5.

**Point [tex]\((1, -2)\)[/tex]**:

[tex]\[ y = -2 \][/tex]

[tex]\[ 0.5x + 2 = 0.5(1) + 2 = 0.5 + 2 = 2.5 \][/tex]

We need to check if [tex]\( y < 2.5 \)[/tex]:

[tex]\[ -2 < 2.5 \quad \text{(True)} \][/tex]

So, [tex]\((1, -2)\)[/tex] is a solution.

Therefore, the points that satisfy the inequality [tex]\( y < 0.5x + 2 \)[/tex] are: [tex]\((-3, -2)\)[/tex], [tex]\((-1, -2)\)[/tex], and [tex]\((1, -2)\)[/tex].