1c:I[54995,["6874","static/chunks/6874-0f505302da71d824.js","6268","static/chunks/6268-9ca42d0b0086b01c.js","3865","static/chunks/3865-02325aa09b3f33d2.js","7075","static/chunks/app/subjects/%5Bslug%5D/diagnostics/%5B...path%5D/page-7f39a69e0b9efb35.js"],"default"] 1d:T515,To solve an inequality we need to remember what the absolute value sign says about our expression. In this case it says that ![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/270953/gif.latex "\left | 2m-\frac{1}{2}\right |<4") can be written as ![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/276673/gif.latex "2m-\frac{1}{2}<4") Of ![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/276674/gif.latex "2m-\frac{1}{2}>-4"). Rewriting this in one inequality we get: ![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/273681/gif.latex "-4<2m-\frac{1}{2}<4") From here we add one half to both sides . ![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/273682/gif.latex "-\frac{7}{2}<2m<\frac{9}{2}") Finally, we divide by two to isolate and solve for m. ![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/273683/gif.latex "-\frac{7}{4}

GMAT Math Diagnostic Test 7

Which of the following could be a value of ?

$\left | 2m-\frac{1}{2}\right |<4$

Which of the following could be a value of ?