AlgebraEasy–MediumInequality with a given solution set
Algebra practice question
Which of the following inequalities has the solution set x ≥ 4?
- A. 2x − 3 ≥ 5Correct
- B. 2x − 3 ≤ 5
- C. 2x + 3 ≥ 5
- D. 3 − 2x ≥ 5
Answer: A. 2x − 3 ≥ 5
2x − 3 ≥ 5 gives 2x ≥ 8, so x ≥ 4.
Why the other answers are wrong
- B. 2x − 3 ≤ 5
- 2x − 3 ≤ 5 gives x ≤ 4, the opposite direction.
- C. 2x + 3 ≥ 5
- 2x + 3 ≥ 5 gives x ≥ 1.
- D. 3 − 2x ≥ 5
- 3 − 2x ≥ 5 gives x ≤ −1.
More Algebra questions
- Easy–Medium
A line passes through the points (0, 3) and (2, 7). What is the slope of the line? - Easy–Medium
A gym charges a $25 one-time signup fee plus $15 per month. Which equation gives the total cost C, in dollars,… - Easy–Medium
If 5(x − 2) = 3x + 4, what is the value of x? - Easy–Medium
A taxi charges a $3.50 base fare plus $2.25 per mile. If a ride costs $19.25 total, how many miles was the rid… - Easy–Medium
The equation of a line is 3x + 2y = 12. What is the y-coordinate of the point where the line crosses the y-axi… - Easy–Medium
A line in the xy-plane passes through the points (1, 5) and (4, 11). What is the y-intercept of the line?
Not affiliated with the College Board. SAT is a trademark of the College Board.