Find the smallest integer x that satisfies the linear inequality 5 - 3x \le -7. — JAMB UTME

Find the smallest integer $x$ that satisfies the linear inequality $5 - 3x \le -7$ .

Answer: 4

The smallest integer value of

x

satisfying the inequality is

4

Subtracting 5 from both sides of

5 - 3x \le -7

gives

-3x \le -12

. Dividing both sides by

-3

requires reversing the inequality sign to obtain

x \ge 4

. Therefore, the smallest integer value in the solution set is 4.

Subtract 5 from both sides of the inequality to isolate the variable term

-3x \le -12

Subtracting a constant from both sides maintains the inequality direction.

Divide both sides by

-3

and flip the inequality sign

x \ge 4

Dividing an inequality by a negative number reverses the direction of the inequality symbol.

Identify the smallest integer satisfying the condition

The solution set contains all real numbers greater than or equal to 4, making 4 the minimum integer value.

Solving Linear Inequalities with Negative Coefficients

Estimated Time:45s

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