What is the minimum integer value of x that satisfies the following inequality? -3x + 2 \l… — Armed Services Vocational Aptitude Battery (ASVAB)

What is the minimum integer value of

x

that satisfies the following inequality?

-3x + 2 \leq 14

Answer: -4

-4

By isolating the variable and correctly reversing the inequality sign when dividing by a negative number, we find the solution set is

x \geq -4

. The smallest integer in this set is -4.

Subtract 2 from both sides of the inequality.

-3x \leq 12

To isolate the variable term.

Divide both sides by -3 and reverse the inequality sign.

x \geq -4

Dividing an inequality by a negative number requires reversing the direction of the inequality symbol to maintain the true mathematical relationship.

Find the minimum integer value that satisfies the solution set.

-4

The solution set includes all numbers greater than or equal to -4. The smallest integer in this set is -4.

Solving two-step linear inequalities and applying the rule for dividing by a negative number.

Question