The sine function of the argument takes values that are in the range [-1; 1]. We write the range of values of the sine function of the argument in the form of a double inequality:
-1 <= sin x <= 1;
Multiply all parts of the inequality by 3:
-3 <= 3 * sin x <= 3;
Subtract one from all parts of the inequality:
-4 <= 3 * sin x <= 2.
The smallest value is -4, the largest is 2.
2) -1 <= sin x <= 1;
Multiply all parts by -4:
-4 <= -4 * sin x <= 4;
Let’s add five to these parts:
1 <= 5 – 4 * sin x <= 9.
The smallest value is 1, the largest is 9.
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