Question

which of the following are solutions to the inequality below? select all that apply.
10 ≥ j
j = 12
j = 8
j = 5
j = 2

Explanation:

Step1: Analyze the inequality \(10 \geq j\)

The inequality \(10 \geq j\) means that \(j\) can be any number less than or equal to \(10\).

Step2: Check each value of \(j\)

• For \(j = 12\): Since \(12>10\), \(j = 12\) does not satisfy \(10\geq j\).
• For \(j = 8\): Since \(8\leq10\), \(j = 8\) satisfies \(10\geq j\).
• For \(j = 5\): Since \(5\leq10\), \(j = 5\) satisfies \(10\geq j\).
• For \(j = 2\): Since \(2\leq10\), \(j = 2\) satisfies \(10\geq j\).

Answer:

The correct solutions are \(j = 8\), \(j = 5\), \(j = 2\) (the option \(j = 12\) is incorrect). So the selected options should be \(j = 8\), \(j = 5\), \(j = 2\) (i.e., the boxes for \(j = 8\), \(j = 5\), \(j = 2\) should be checked and \(j = 12\) should be unchecked).