Set 16: Linear Inequalities (Intermediate)

Explanation

Answer: A

Which inequality is equivalent to $-4x + 6 < 22$ ?

$x > -4$

✓ Correct

$x < -4$

$x > 4$

$x < 4$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Isolate $x$ and reverse the sign. 1. Subtract 6: $-4 x < 16$ 2. Divide by -4: $x > -4$ (REVERSE the sign!) Strategic Tip: Dividing by a negative number flips $<$ to $>$ . Choice B is incorrect because it fails to reverse the inequality sign. Choice C is incorrect because it uses positive 4 instead of negative 4. Choice D is incorrect because it uses positive 4 and fails to reverse the sign.

Key Steps:

•

The correct answer is $x > -4$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

🎉 Set Complete!

You've reviewed all explanations. Ready to try another set?

← Previous

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→