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Solve the inequality [tex]7 + x \leq 10[/tex].

A. [tex]x \geq 3[/tex]

B. [tex]x \geq -3[/tex]

C. [tex]x \leq -3[/tex]

D. [tex]x \leq 3[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\( 7 + x \leq 10 \)[/tex], follow these steps:

1. Start with the given inequality:
[tex]\[ 7 + x \leq 10 \][/tex]

2. Isolate the variable [tex]\( x \)[/tex]:
Subtract 7 from both sides of the inequality to get:
[tex]\[ x \leq 10 - 7 \][/tex]

3. Simplify the right side:
[tex]\[ x \leq 3 \][/tex]

Thus, the solution to the inequality [tex]\( 7 + x \leq 10 \)[/tex] is [tex]\( x \leq 3 \)[/tex].

Now, let's identify the correct choice from the given options:

A. [tex]\( x \geq 3 \)[/tex]

B. [tex]\( x \geq -3 \)[/tex]

C. [tex]\( x \leq -3 \)[/tex]

D. [tex]\( x \leq 3 \)[/tex]

The correct answer is:
D. [tex]\( x \leq 3 \)[/tex]
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