Answer:
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
Explanation:
24 ≤ 8 (7 − 4x)
Rewrite so x is on the left side of the inequality.
8 (7 − 4x) ≥ 24
Divide each term by 8 and simplify.
Divide each term in 8 (7 − 4x) ≥ 24 by 8.
8 (7 − 4x)/8 ≥ 24/8
Cancel the common factor of 8.
7 − 4x ≥ 24/ 8
Divide 24 by 8.
7 − 4x ≥ 3
Move all terms not containing x to the right side of the inequality.
−4x ≥ −4
Divide each term by −4 and simplify.
x ≤ 1
The result can be shown in multiple forms.
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]