Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
Answer:
Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.
Step-by-step explanation:
i.e. it could also be written as:
3x + 1 > 7
3x > 7 - 1
3x > 6
x > 2
And the second inequality is:
4x < 24
4x < 6
Hence, the compound inequality could be represented as:
x>2 i.e. (2,∞)
and x≤6 i.e. (-∞,6]
Hence, the feasible region or the region that is common to both the inequalities is:
(2,6]
Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between
