Answer :
Question:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.
What is the solution set of this problem?
Answer:
[tex]x \leq -21[/tex]
Step-by-step explanation:
Given
Represent the number with x
So:
[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]
Required
Determine the solution set
[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]
Open Both Brackets
[tex]5 * x + 5 * 27 \geq 6 *x + 6 * 26[/tex]
[tex]5x + 135 \geq 6x + 156[/tex]
Collect Like Terms
[tex]5x - 6x \geq 156-135[/tex]
[tex]- x \geq 21[/tex]
Multiply both sides by -1
[tex]x \leq -21[/tex]
Hence, the solution set is [tex]x \leq -21[/tex]