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Determine the smallest integer value of x in the solution of the following inequality. - 2x + 3 < -3​

User Keaz
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Final answer:

To find the smallest integer value of x for the inequality -2x + 3 < -3, isolate x by subtracting 3 and dividing by -2, resulting in x > 3. The smallest integer value of x is therefore 4.

Step-by-step explanation:

To determine the smallest integer value of x in the solution of the inequality -2x + 3 < -3, we need to isolate x on one side of the inequality. Here are the steps to solve it:

  • First, subtract 3 from both sides of the inequality: -2x + 3 - 3 < -3 - 3.
  • This simplifies to: -2x < -6.
  • Next, divide both sides by -2 to solve for x, and remember to reverse the inequality sign when dividing by a negative number: x > 3.

As we are looking for the smallest integer value of x, the answer would be 4 because x must be greater than 3.

User Dhaval Chaudhary
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