Question

Which graph shows all the values that satisfy Two-ninths x + 3 greater-than 4 and five-ninths

A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward positive 10.

Answer 1

b .

Explanation:

Answer 2

A graph that shows all the values that satisfy Two-ninths x + 3 greater-than 4 and five-ninths is: A. A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.

In Mathematics, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:

• Less than or equal to (≤).
• Greater than (>).
• Greater than or equal to (≥).
• Less than (<).

Based on the information provided, we can logically deduce that the word problem can be translated as follows;

2/9(x) + 3 > 4 5/9

(2x + 6)/9 > 20/9

2x + 6 > 20

2x > 14

x > 14/2

x > 7

Therefore, the solution set is x > 7, which means a hollow dot would be placed at point 7 on the number line with an arrow that increases to the right as correctly depicted by graph A.