To write the given statement using symbols, we take the verbal description and translate it into a mathematical equation.
The sum of [tex]\( x \)[/tex] and 1 can be written as:
[tex]\[ x + 1 \][/tex]
The product of 10 and 5 can be written as:
[tex]\[ 10 \times 5 \][/tex]
Therefore, putting these expressions together to form the equation, we have:
[tex]\[ x + 1 = 10 \times 5 \][/tex]
So, the symbolic representation of the given statement is:
[tex]\[ x + 1 = 10 \times 5 \][/tex]