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is there a solution for x + 5.1 <=-2.4

is there a solution for x + 5.1 <= -2.4
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2 Answers

x + 5.1 <=-2.4
 
Subtract 5.1 from both sides:
 
x <= -2.4 - 5.1
x <= -7.5

Comments

if i use a number less than -7.5 for x then would this be a false solution?
i.e.  try -5 for x.      -5 + 5.1 <= -2.4
                                 1. <=-2.4    cannot be true
Correct. The solution is all values of x that are less than or equal to -7.5. The statement would be false for all values of x that are greater than -7.5, such as -5. 
x+5.1≤-2.4
therefore subtracting both sides of the inequality by 5.1  we have
x+5.1-5.1≤-2.4-5.1  ⇒ x≤-7.5