AlgebraHardValue in one solution set but not another
Algebra practice question
Which of the following values of x satisfies 3(x − 2) ≤ x + 4 but does NOT satisfy 2x + 1 > 7?
- A. 3Correct
- B. 4
- C. 5
- D. 6
Answer: A. 3
3(x − 2) ≤ x + 4 gives x ≤ 5; 2x + 1 > 7 gives x > 3. A value with x ≤ 5 and x ≤ 3 is 3.
Why the other answers are wrong
- B. 4
- 4 satisfies both inequalities.
- C. 5
- 5 satisfies both.
- D. 6
- 6 satisfies neither (6 > 5 and 6 > 3).
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.