Answer :
To determine which whole numbers less than 10 satisfy the inequality [tex]\( 4x - 8 \leq 4 \)[/tex], we can solve the inequality step-by-step.
1. Start with the given inequality:
[tex]\[ 4x - 8 \leq 4 \][/tex]
2. Add 8 to both sides of the inequality to isolate the term with the variable [tex]\( x \)[/tex]:
[tex]\[ 4x - 8 + 8 \leq 4 + 8 \][/tex]
[tex]\[ 4x \leq 12 \][/tex]
3. Divide both sides of the inequality by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{4x}{4} \leq \frac{12}{4} \][/tex]
[tex]\[ x \leq 3 \][/tex]
Thus, the solutions to the inequality are the whole numbers less than or equal to 3.
Considering that [tex]\( x \)[/tex] must be less than 10, we list the whole numbers that are less than or equal to 3:
[tex]\[ 0, 1, 2, 3 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{0, 1, 2, 3} \][/tex]
1. Start with the given inequality:
[tex]\[ 4x - 8 \leq 4 \][/tex]
2. Add 8 to both sides of the inequality to isolate the term with the variable [tex]\( x \)[/tex]:
[tex]\[ 4x - 8 + 8 \leq 4 + 8 \][/tex]
[tex]\[ 4x \leq 12 \][/tex]
3. Divide both sides of the inequality by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{4x}{4} \leq \frac{12}{4} \][/tex]
[tex]\[ x \leq 3 \][/tex]
Thus, the solutions to the inequality are the whole numbers less than or equal to 3.
Considering that [tex]\( x \)[/tex] must be less than 10, we list the whole numbers that are less than or equal to 3:
[tex]\[ 0, 1, 2, 3 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{0, 1, 2, 3} \][/tex]