Which of the following represents all values of x that satisfy the inequality - 1 <= 4x - 5?
-1 <= 4x - 5 is satisfied by the values shown in option A.
To solve the inequality -1 <= 4x - 5, we first isolate x. Adding 5 to both sides gives us 4 <= 4x, and dividing by 4 yields x >= 1. Thus, the solution includes all values of x that are greater than or equal to 1, which corresponds to the representation in option A.
This option accurately depicts all values of x that satisfy the inequality, which is x >= 1. It visually represents the solution on a number line, showing that all values from 1 to positive infinity are included.
This option incorrectly suggests that the solution starts at a number greater than 1. It might indicate that values less than 1 are included, which contradicts the derived solution of x >= 1. Therefore, this option does not satisfy the inequality.
This choice fails to represent the solution as it may only show a single point or values that are not inclusive of 1. The solution requires all x values from 1 and upwards, and this option does not reflect that.
Similar to option C, this choice likely illustrates values that do not include the necessary range starting from 1. The representation does not align with the solution of x >= 1, thus making it incorrect.
The correct representation of the solution to the inequality -1 <= 4x - 5 is option A, which correctly indicates that x must be greater than or equal to 1. The other options fail to satisfy this condition, highlighting the importance of accurate representation in mathematical inequalities.
Related Questions
View allWhich of the following inequalities is graphed in the xy-plane above?
In the xy- coordinate system above, line l (not shown) does not contai...
(½ + ⅓ )/ (1/5 )
In the inequalities, a and b are integers. What is the least integer v...
Which of the following is an equation of the line graphed above?
Related Quizzes
View allACCUPLACER Next Generation Arithmetic
Next Generation ACCUPLACER Arithmetic Practice Test
ACCUPLACER Next Generation Arithmetic Answers
Next Generation Arithmetic ACCUPLACER
Next-Generation ACCUPLACER Arithmetic
ACCUPLACER Next-Generation Arithmetic Scores
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics Answers
Next Generation ACCUPLACER Score Quantitative Reasoning Algebra and Statistics
Next Generation ACCUPLACER Scores Quantitative Reasoning Algebra and Statistics
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations