Final answer:
To represent the statement mathematically, we use 'x' for the unknown number and create the inequality 6(x + 26) ≤ -29, signifying that six times the sum of the number and 26 does not exceed -29.
Step-by-step explanation:
To translate the statement "Six times the sum of a number and 26 is at most -29" into an inequality, we start by representing the unknown number with a variable, often 'x'. The phrase 'the sum of a number and 26' can be written as 'x + 26'. Then 'six times' indicates multiplication by 6, so we write '6(x + 26)'.
The phrase 'is at most' tells us that the resulting value is less than or equal to a certain number, -29 in this case. Therefore, the inequality representing the entire statement is:
6(x + 26) ≤ -29