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Solve the following inequality for [tex]d[/tex]. Write your answer in simplest form.

[tex]2d - 10 \leq 3d - 7[/tex]

Answer: [tex]d \geq -3[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\( 2d - 10 \leq 3d - 7 \)[/tex] for [tex]\( d \)[/tex], we will go through the following steps:

1. Start with the given inequality:
[tex]\[ 2d - 10 \leq 3d - 7 \][/tex]

2. Subtract [tex]\( 2d \)[/tex] from both sides to isolate [tex]\( d \)[/tex] on one side of the inequality:
[tex]\[ -10 \leq d - 7 \][/tex]

3. Add 7 to both sides to further isolate [tex]\( d \)[/tex]:
[tex]\[ -10 + 7 \leq d \][/tex]
[tex]\[ -3 \leq d \][/tex]

This simplifies to:
[tex]\[ d \geq -3 \][/tex]

So, the solution to the inequality [tex]\( 2d - 10 \leq 3d - 7 \)[/tex] is [tex]\( d \geq -3 \)[/tex].

Thus, the answer in simplest form is:
[tex]\[ d \geq -3 \][/tex]
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