The set A = {x : |2x + 3|

Question

(C) Given the set $A = \{x : |2x + 3| < 7\}$.We know that the inequality $|f(x)| < a$ is equivalent to $-a < f(x) < a$.Applying this to the given ineq

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$D = \{x : 0 < x + 5 < 7\}$

Vedclass · Answer

(C) Given the set $A = \{x : |2x + 3| We know that the inequality $|f(x)| Applying this to the given inequality:$-7 Subtracting $3$ from all parts:$-7 - 3 $-10 Dividing by $2$:$-5 Now,let us check the condition for set $D = \{x : 0 $0 Subtracting $5$ from all parts:$0 - 5 $-5 Since the range of $x$ for set $A$ and set $D$ is the same,set $A$ is equal to set $D$.

The set $A = \{x : |2x + 3| < 7\}$ is equal to which of the following sets?

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