Solve the inequality $x+4<5$
A. $x>9$
B. $x>1$
C. $x<9$
D. $x<1$
Answer (1)
x < 1
Explanation
Understanding the Inequality We are given the inequality x + 4 < 5 and we want to find the values of x that satisfy this inequality.
Isolating x To solve for x , we need to isolate x on one side of the inequality. We can do this by subtracting 4 from both sides of the inequality: x + 4 − 4 < 5 − 4
Simplifying the Inequality Simplifying both sides, we get: x < 1
Final Answer Therefore, the solution to the inequality x + 4 < 5 is x < 1 .
Examples
Understanding inequalities is crucial in many real-world scenarios. For instance, when budgeting, you might want to ensure that your expenses ( x ) plus your savings (say, $4) are less than your total income ( 5 ) . T h e in e q u a l i t y x+4<5 h e lp syo u d e t er min e h o w m u c h yo u c an s p e n d w i t h o u t e x cee d in g yo u r in co m e . S imi l a r l y , in se tt in g s p ee d l imi t s , anin e q u a l i t ye n s u res t ha t v e hi c l es t r a v e l a t a s p ee d ( x$) such that, even with an additional factor (like $4), it remains below a safe threshold ($5).
