Question

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Answer 1

Answer:

Inequality Form:  x ≤ 1

Interval Notation:  (−∞, 1]

Step-by-step 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]