Question Determine if the inequality $2^{3} \leqslant 8$ is true.

Studdy Solution

STEP 1

Assumptions
1. We need to verify if the inequality $2^{3} \leqslant 8$ is true or false.

STEP 2

Evaluate the left-hand side of the inequality by calculating the value of $2^{3}$ .
$2^{3} = 2 \times 2 \times 2$

STEP 3

Calculate the value of $2^{3}$ .
$2^{3} = 8$

STEP 4

Now that we have the value of the left-hand side, we compare it to the right-hand side of the inequality.
$8 \leqslant 8$

STEP 5

Since both sides of the inequality are equal, the inequality holds true.
The inequality $2^{3} \leqslant 8$ is true because $8 \leqslant 8$ .

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Question Determine if the inequality $2^{3} \leqslant 8$ is true.

Studdy Solution

STEP 1

Assumptions
1. We need to verify if the inequality $2^{3} \leqslant 8$ is true or false.

STEP 2

Evaluate the left-hand side of the inequality by calculating the value of $2^{3}$ .
$2^{3} = 2 \times 2 \times 2$

STEP 3

Calculate the value of $2^{3}$ .
$2^{3} = 8$

STEP 4

Now that we have the value of the left-hand side, we compare it to the right-hand side of the inequality.
$8 \leqslant 8$

STEP 5

Since both sides of the inequality are equal, the inequality holds true.
The inequality $2^{3} \leqslant 8$ is true because $8 \leqslant 8$ .

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Question Determine if the inequality 23⩽82^{3} \leqslant 823⩽8 is true.

Studdy Solution

STEP 1

Assumptions1. We need to verify if the inequality 23⩽82^{3} \leqslant 823⩽8 is true or false.

STEP 2

Evaluate the left-hand side of the inequality by calculating the value of 232^{3}23.23=2×2×22^{3} = 2 \times 2 \times 223=2×2×2

STEP 3

Calculate the value of 232^{3}23.23=82^{3} = 823=8

STEP 4

Now that we have the value of the left-hand side, we compare it to the right-hand side of the inequality.8⩽88 \leqslant 88⩽8

STEP 5

Since both sides of the inequality are equal, the inequality holds true.The inequality 23⩽82^{3} \leqslant 823⩽8 is true because 8⩽88 \leqslant 88⩽8.

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Question Determine if the inequality $2^{3} \leqslant 8$ is true.

Assumptions
1. We need to verify if the inequality $2^{3} \leqslant 8$ is true or false.

Evaluate the left-hand side of the inequality by calculating the value of $2^{3}$ .
$2^{3} = 2 \times 2 \times 2$

Calculate the value of $2^{3}$ .
$2^{3} = 8$

Now that we have the value of the left-hand side, we compare it to the right-hand side of the inequality.
$8 \leqslant 8$

Since both sides of the inequality are equal, the inequality holds true.
The inequality $2^{3} \leqslant 8$ is true because $8 \leqslant 8$ .